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Finding the Fourth Proportional to 101,988.12, 140,753.16 and 61,711.86

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Solution

The fourth proportional to 101,988.12, 140,753.16 and 61,711.86 is: 85,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,988.12 : 140,753.16 = 61,711.86 : x
  2. Step 2: Convert to fraction form
    101,988.12/140,753.16 = 61,711.86/x
  3. Step 3: Cross multiply
    101,988.12x = 140,753.16 × 61,711.86
  4. Step 4: Simplify right side
    101,988.12x = 8,686,139,304.48
  5. Step 5: Solve for x
    x = 8,686,139,304.48/101,988.12
  6. Step 6: Final answer
    x = 85,168.15

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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.