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Finding the Fourth Proportional to 147,978,125.40, 207,509,497.80 and 147,978,125.40

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Solution

The fourth proportional to 147,978,125.40, 207,509,497.80 and 147,978,125.40 is: 207,509,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,978,125.40 : 207,509,497.80 = 147,978,125.40 : x
  2. Step 2: Convert to fraction form
    147,978,125.40/207,509,497.80 = 147,978,125.40/x
  3. Step 3: Cross multiply
    147,978,125.40x = 207,509,497.80 × 147,978,125.40
  4. Step 4: Simplify right side
    147,978,125.40x = 30,706,866,487,139,428
  5. Step 5: Solve for x
    x = 30,706,866,487,139,428/147,978,125.40
  6. Step 6: Final answer
    x = 207,509,497.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.