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Finding the Fourth Proportional to 56,839.92, 78,410.22 and 43,387.80

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Solution

The fourth proportional to 56,839.92, 78,410.22 and 43,387.80 is: 59,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,839.92 : 78,410.22 = 43,387.80 : x
  2. Step 2: Convert to fraction form
    56,839.92/78,410.22 = 43,387.80/x
  3. Step 3: Cross multiply
    56,839.92x = 78,410.22 × 43,387.80
  4. Step 4: Simplify right side
    56,839.92x = 3,402,046,943.32
  5. Step 5: Solve for x
    x = 3,402,046,943.32/56,839.92
  6. Step 6: Final answer
    x = 59,853.13

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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.