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Finding the Fourth Proportional to 145,866.31, 218,711.88 and 57,013.96

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Solution

The fourth proportional to 145,866.31, 218,711.88 and 57,013.96 is: 85,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866.31 : 218,711.88 = 57,013.96 : x
  2. Step 2: Convert to fraction form
    145,866.31/218,711.88 = 57,013.96/x
  3. Step 3: Cross multiply
    145,866.31x = 218,711.88 × 57,013.96
  4. Step 4: Simplify right side
    145,866.31x = 12,469,630,377.84
  5. Step 5: Solve for x
    x = 12,469,630,377.84/145,866.31
  6. Step 6: Final answer
    x = 85,486.71

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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.