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Finding the Fourth Proportional to 138,097.98, 207,151.43 and 38,259.14

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Solution

The fourth proportional to 138,097.98, 207,151.43 and 38,259.14 is: 57,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,097.98 : 207,151.43 = 38,259.14 : x
  2. Step 2: Convert to fraction form
    138,097.98/207,151.43 = 38,259.14/x
  3. Step 3: Cross multiply
    138,097.98x = 207,151.43 × 38,259.14
  4. Step 4: Simplify right side
    138,097.98x = 7,925,434,334.52
  5. Step 5: Solve for x
    x = 7,925,434,334.52/138,097.98
  6. Step 6: Final answer
    x = 57,389.94

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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.