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Finding the Fourth Proportional to 77,442.74, 106,908.52 and 51,939.78

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Solution

The fourth proportional to 77,442.74, 106,908.52 and 51,939.78 is: 71,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442.74 : 106,908.52 = 51,939.78 : x
  2. Step 2: Convert to fraction form
    77,442.74/106,908.52 = 51,939.78/x
  3. Step 3: Cross multiply
    77,442.74x = 106,908.52 × 51,939.78
  4. Step 4: Simplify right side
    77,442.74x = 5,552,805,008.93
  5. Step 5: Solve for x
    x = 5,552,805,008.93/77,442.74
  6. Step 6: Final answer
    x = 71,702.07

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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.