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Finding the Fourth Proportional to 102,295.67, 141,157.96 and 56,972.12

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Solution

The fourth proportional to 102,295.67, 141,157.96 and 56,972.12 is: 78,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,295.67 : 141,157.96 = 56,972.12 : x
  2. Step 2: Convert to fraction form
    102,295.67/141,157.96 = 56,972.12/x
  3. Step 3: Cross multiply
    102,295.67x = 141,157.96 × 56,972.12
  4. Step 4: Simplify right side
    102,295.67x = 8,042,067,387.86
  5. Step 5: Solve for x
    x = 8,042,067,387.86/102,295.67
  6. Step 6: Final answer
    x = 78,615.92

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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.