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Finding the Fourth Proportional to 71,772.48, 99,158.38 and 54,836

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Solution

The fourth proportional to 71,772.48, 99,158.38 and 54,836 is: 75,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772.48 : 99,158.38 = 54,836 : x
  2. Step 2: Convert to fraction form
    71,772.48/99,158.38 = 54,836/x
  3. Step 3: Cross multiply
    71,772.48x = 99,158.38 × 54,836
  4. Step 4: Simplify right side
    71,772.48x = 5,437,448,925.68
  5. Step 5: Solve for x
    x = 5,437,448,925.68/71,772.48
  6. Step 6: Final answer
    x = 75,759.52

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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.