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Finding the Fourth Proportional to 56,299, 77,693.16 and 31,149.04

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Solution

The fourth proportional to 56,299, 77,693.16 and 31,149.04 is: 42,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,299 : 77,693.16 = 31,149.04 : x
  2. Step 2: Convert to fraction form
    56,299/77,693.16 = 31,149.04/x
  3. Step 3: Cross multiply
    56,299x = 77,693.16 × 31,149.04
  4. Step 4: Simplify right side
    56,299x = 2,420,067,348.57
  5. Step 5: Solve for x
    x = 2,420,067,348.57/56,299
  6. Step 6: Final answer
    x = 42,985.97

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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.