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Finding the Fourth Proportional to 101,711.86, 140,370.68 and 56,404.05

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Solution

The fourth proportional to 101,711.86, 140,370.68 and 56,404.05 is: 77,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,711.86 : 140,370.68 = 56,404.05 : x
  2. Step 2: Convert to fraction form
    101,711.86/140,370.68 = 56,404.05/x
  3. Step 3: Cross multiply
    101,711.86x = 140,370.68 × 56,404.05
  4. Step 4: Simplify right side
    101,711.86x = 7,917,474,853.25
  5. Step 5: Solve for x
    x = 7,917,474,853.25/101,711.86
  6. Step 6: Final answer
    x = 77,842.20

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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.