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Finding the Fourth Proportional to 72,258.82, 108,404.70 and 38,978.15

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Solution

The fourth proportional to 72,258.82, 108,404.70 and 38,978.15 is: 58,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,258.82 : 108,404.70 = 38,978.15 : x
  2. Step 2: Convert to fraction form
    72,258.82/108,404.70 = 38,978.15/x
  3. Step 3: Cross multiply
    72,258.82x = 108,404.70 × 38,978.15
  4. Step 4: Simplify right side
    72,258.82x = 4,225,413,969.11
  5. Step 5: Solve for x
    x = 4,225,413,969.11/72,258.82
  6. Step 6: Final answer
    x = 58,476.10

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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.