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Finding the Fourth Proportional to 57,917.80, 86,876.70 and 57,140.20

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Solution

The fourth proportional to 57,917.80, 86,876.70 and 57,140.20 is: 85,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,917.80 : 86,876.70 = 57,140.20 : x
  2. Step 2: Convert to fraction form
    57,917.80/86,876.70 = 57,140.20/x
  3. Step 3: Cross multiply
    57,917.80x = 86,876.70 × 57,140.20
  4. Step 4: Simplify right side
    57,917.80x = 4,964,152,013.34
  5. Step 5: Solve for x
    x = 4,964,152,013.34/57,917.80
  6. Step 6: Final answer
    x = 85,710.30

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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.