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Finding the Fourth Proportional to 56,343, 77,753.88 and 31,193.04

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Solution

The fourth proportional to 56,343, 77,753.88 and 31,193.04 is: 43,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,343 : 77,753.88 = 31,193.04 : x
  2. Step 2: Convert to fraction form
    56,343/77,753.88 = 31,193.04/x
  3. Step 3: Cross multiply
    56,343x = 77,753.88 × 31,193.04
  4. Step 4: Simplify right side
    56,343x = 2,425,379,889.00
  5. Step 5: Solve for x
    x = 2,425,379,889.00/56,343
  6. Step 6: Final answer
    x = 43,046.69

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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.