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Finding the Fourth Proportional to 57,130.87, 85,729.10 and 44,615.77

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Solution

The fourth proportional to 57,130.87, 85,729.10 and 44,615.77 is: 66,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,130.87 : 85,729.10 = 44,615.77 : x
  2. Step 2: Convert to fraction form
    57,130.87/85,729.10 = 44,615.77/x
  3. Step 3: Cross multiply
    57,130.87x = 85,729.10 × 44,615.77
  4. Step 4: Simplify right side
    57,130.87x = 3,824,869,807.91
  5. Step 5: Solve for x
    x = 3,824,869,807.91/57,130.87
  6. Step 6: Final answer
    x = 66,949.27

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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.