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Finding the Fourth Proportional to 56,500.80, 84,834.90 and 31,590.60

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Solution

The fourth proportional to 56,500.80, 84,834.90 and 31,590.60 is: 47,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,500.80 : 84,834.90 = 31,590.60 : x
  2. Step 2: Convert to fraction form
    56,500.80/84,834.90 = 31,590.60/x
  3. Step 3: Cross multiply
    56,500.80x = 84,834.90 × 31,590.60
  4. Step 4: Simplify right side
    56,500.80x = 2,679,985,391.94
  5. Step 5: Solve for x
    x = 2,679,985,391.94/56,500.80
  6. Step 6: Final answer
    x = 47,432.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.