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Finding the Fourth Proportional to 56,493.52, 77,960.84 and 31,000.31

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Solution

The fourth proportional to 56,493.52, 77,960.84 and 31,000.31 is: 42,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.52 : 77,960.84 = 31,000.31 : x
  2. Step 2: Convert to fraction form
    56,493.52/77,960.84 = 31,000.31/x
  3. Step 3: Cross multiply
    56,493.52x = 77,960.84 × 31,000.31
  4. Step 4: Simplify right side
    56,493.52x = 2,416,810,229.59
  5. Step 5: Solve for x
    x = 2,416,810,229.59/56,493.52
  6. Step 6: Final answer
    x = 42,780.31

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1.5x scale

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.