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Finding the Fourth Proportional to 475,072.94, 712,678.97 and 138,069.81

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Solution

The fourth proportional to 475,072.94, 712,678.97 and 138,069.81 is: 207,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,072.94 : 712,678.97 = 138,069.81 : x
  2. Step 2: Convert to fraction form
    475,072.94/712,678.97 = 138,069.81/x
  3. Step 3: Cross multiply
    475,072.94x = 712,678.97 × 138,069.81
  4. Step 4: Simplify right side
    475,072.94x = 98,399,450,324.07
  5. Step 5: Solve for x
    x = 98,399,450,324.07/475,072.94
  6. Step 6: Final answer
    x = 207,124.93

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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.