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Finding the Fourth Proportional to 56,438.92, 77,888.82 and 31,287.88

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Solution

The fourth proportional to 56,438.92, 77,888.82 and 31,287.88 is: 43,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,438.92 : 77,888.82 = 31,287.88 : x
  2. Step 2: Convert to fraction form
    56,438.92/77,888.82 = 31,287.88/x
  3. Step 3: Cross multiply
    56,438.92x = 77,888.82 × 31,287.88
  4. Step 4: Simplify right side
    56,438.92x = 2,436,976,053.50
  5. Step 5: Solve for x
    x = 2,436,976,053.50/56,438.92
  6. Step 6: Final answer
    x = 43,179.00

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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.