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Finding the Fourth Proportional to 100,713.59, 138,985.68 and 54,773.66

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Solution

The fourth proportional to 100,713.59, 138,985.68 and 54,773.66 is: 75,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,713.59 : 138,985.68 = 54,773.66 : x
  2. Step 2: Convert to fraction form
    100,713.59/138,985.68 = 54,773.66/x
  3. Step 3: Cross multiply
    100,713.59x = 138,985.68 × 54,773.66
  4. Step 4: Simplify right side
    100,713.59x = 7,612,754,381.19
  5. Step 5: Solve for x
    x = 7,612,754,381.19/100,713.59
  6. Step 6: Final answer
    x = 75,588.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.