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Finding the Fourth Proportional to 55,458.60, 83,123.10 and 29,149.80

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Solution

The fourth proportional to 55,458.60, 83,123.10 and 29,149.80 is: 43,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,458.60 : 83,123.10 = 29,149.80 : x
  2. Step 2: Convert to fraction form
    55,458.60/83,123.10 = 29,149.80/x
  3. Step 3: Cross multiply
    55,458.60x = 83,123.10 × 29,149.80
  4. Step 4: Simplify right side
    55,458.60x = 2,423,021,740.38
  5. Step 5: Solve for x
    x = 2,423,021,740.38/55,458.60
  6. Step 6: Final answer
    x = 43,690.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.