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Finding the Fourth Proportional to 57,708.30, 86,562.45 and 47,858.70

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Solution

The fourth proportional to 57,708.30, 86,562.45 and 47,858.70 is: 71,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708.30 : 86,562.45 = 47,858.70 : x
  2. Step 2: Convert to fraction form
    57,708.30/86,562.45 = 47,858.70/x
  3. Step 3: Cross multiply
    57,708.30x = 86,562.45 × 47,858.70
  4. Step 4: Simplify right side
    57,708.30x = 4,142,766,325.82
  5. Step 5: Solve for x
    x = 4,142,766,325.82/57,708.30
  6. Step 6: Final answer
    x = 71,788.05

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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.