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Finding the Fourth Proportional to 138,100.98, 207,155.93 and 38,262.14

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Solution

The fourth proportional to 138,100.98, 207,155.93 and 38,262.14 is: 57,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,100.98 : 207,155.93 = 38,262.14 : x
  2. Step 2: Convert to fraction form
    138,100.98/207,155.93 = 38,262.14/x
  3. Step 3: Cross multiply
    138,100.98x = 207,155.93 × 38,262.14
  4. Step 4: Simplify right side
    138,100.98x = 7,926,227,968.40
  5. Step 5: Solve for x
    x = 7,926,227,968.40/138,100.98
  6. Step 6: Final answer
    x = 57,394.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.