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Finding the Fourth Proportional to 76,691.80, 105,923.32 and 51,153.82

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Solution

The fourth proportional to 76,691.80, 105,923.32 and 51,153.82 is: 70,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,691.80 : 105,923.32 = 51,153.82 : x
  2. Step 2: Convert to fraction form
    76,691.80/105,923.32 = 51,153.82/x
  3. Step 3: Cross multiply
    76,691.80x = 105,923.32 × 51,153.82
  4. Step 4: Simplify right side
    76,691.80x = 5,418,382,445.08
  5. Step 5: Solve for x
    x = 5,418,382,445.08/76,691.80
  6. Step 6: Final answer
    x = 70,651.39

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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.