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Finding the Fourth Proportional to 56,782, 78,359.16 and 31,633.12

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Solution

The fourth proportional to 56,782, 78,359.16 and 31,633.12 is: 43,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782 : 78,359.16 = 31,633.12 : x
  2. Step 2: Convert to fraction form
    56,782/78,359.16 = 31,633.12/x
  3. Step 3: Cross multiply
    56,782x = 78,359.16 × 31,633.12
  4. Step 4: Simplify right side
    56,782x = 2,478,744,711.38
  5. Step 5: Solve for x
    x = 2,478,744,711.38/56,782
  6. Step 6: Final answer
    x = 43,653.71

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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.