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Finding the Fourth Proportional to 138,308.36, 207,462.54 and 38,464.52

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Solution

The fourth proportional to 138,308.36, 207,462.54 and 38,464.52 is: 57,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308.36 : 207,462.54 = 38,464.52 : x
  2. Step 2: Convert to fraction form
    138,308.36/207,462.54 = 38,464.52/x
  3. Step 3: Cross multiply
    138,308.36x = 207,462.54 × 38,464.52
  4. Step 4: Simplify right side
    138,308.36x = 7,979,947,019.08
  5. Step 5: Solve for x
    x = 7,979,947,019.08/138,308.36
  6. Step 6: Final answer
    x = 57,696.78

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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.