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Finding the Fourth Proportional to 138,646.90, 207,970.40 and 38,821.82

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Solution

The fourth proportional to 138,646.90, 207,970.40 and 38,821.82 is: 58,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.90 : 207,970.40 = 38,821.82 : x
  2. Step 2: Convert to fraction form
    138,646.90/207,970.40 = 38,821.82/x
  3. Step 3: Cross multiply
    138,646.90x = 207,970.40 × 38,821.82
  4. Step 4: Simplify right side
    138,646.90x = 8,073,789,434.13
  5. Step 5: Solve for x
    x = 8,073,789,434.13/138,646.90
  6. Step 6: Final answer
    x = 58,232.74

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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.