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Finding the Fourth Proportional to 101,811.62, 140,495.17 and 56,489.08

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Solution

The fourth proportional to 101,811.62, 140,495.17 and 56,489.08 is: 77,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,811.62 : 140,495.17 = 56,489.08 : x
  2. Step 2: Convert to fraction form
    101,811.62/140,495.17 = 56,489.08/x
  3. Step 3: Cross multiply
    101,811.62x = 140,495.17 × 56,489.08
  4. Step 4: Simplify right side
    101,811.62x = 7,936,442,897.74
  5. Step 5: Solve for x
    x = 7,936,442,897.74/101,811.62
  6. Step 6: Final answer
    x = 77,952.23

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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.