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Finding the Fourth Proportional to 77,060, 106,342.92 and 41,732

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Solution

The fourth proportional to 77,060, 106,342.92 and 41,732 is: 57,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,060 : 106,342.92 = 41,732 : x
  2. Step 2: Convert to fraction form
    77,060/106,342.92 = 41,732/x
  3. Step 3: Cross multiply
    77,060x = 106,342.92 × 41,732
  4. Step 4: Simplify right side
    77,060x = 4,437,902,737.44
  5. Step 5: Solve for x
    x = 4,437,902,737.44/77,060
  6. Step 6: Final answer
    x = 57,590.22

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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.