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Finding the Fourth Proportional to 71,886.64, 107,641.20 and 57,771.60

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Solution

The fourth proportional to 71,886.64, 107,641.20 and 57,771.60 is: 86,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.64 : 107,641.20 = 57,771.60 : x
  2. Step 2: Convert to fraction form
    71,886.64/107,641.20 = 57,771.60/x
  3. Step 3: Cross multiply
    71,886.64x = 107,641.20 × 57,771.60
  4. Step 4: Simplify right side
    71,886.64x = 6,218,604,349.92
  5. Step 5: Solve for x
    x = 6,218,604,349.92/71,886.64
  6. Step 6: Final answer
    x = 86,505.70

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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.