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Finding the Fourth Proportional to 56,400.76, 77,833.16 and 31,250.24

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Solution

The fourth proportional to 56,400.76, 77,833.16 and 31,250.24 is: 43,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,400.76 : 77,833.16 = 31,250.24 : x
  2. Step 2: Convert to fraction form
    56,400.76/77,833.16 = 31,250.24/x
  3. Step 3: Cross multiply
    56,400.76x = 77,833.16 × 31,250.24
  4. Step 4: Simplify right side
    56,400.76x = 2,432,304,929.96
  5. Step 5: Solve for x
    x = 2,432,304,929.96/56,400.76
  6. Step 6: Final answer
    x = 43,125.39

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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.