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Finding the Fourth Proportional to 123,649.13, 185,493 and 39,428.17

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Solution

The fourth proportional to 123,649.13, 185,493 and 39,428.17 is: 59,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,649.13 : 185,493 = 39,428.17 : x
  2. Step 2: Convert to fraction form
    123,649.13/185,493 = 39,428.17/x
  3. Step 3: Cross multiply
    123,649.13x = 185,493 × 39,428.17
  4. Step 4: Simplify right side
    123,649.13x = 7,313,649,537.81
  5. Step 5: Solve for x
    x = 7,313,649,537.81/123,649.13
  6. Step 6: Final answer
    x = 59,148.41

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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.