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Finding the Fourth Proportional to 57,120.87, 78,829.71 and 31,630.05

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Solution

The fourth proportional to 57,120.87, 78,829.71 and 31,630.05 is: 43,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120.87 : 78,829.71 = 31,630.05 : x
  2. Step 2: Convert to fraction form
    57,120.87/78,829.71 = 31,630.05/x
  3. Step 3: Cross multiply
    57,120.87x = 78,829.71 × 31,630.05
  4. Step 4: Simplify right side
    57,120.87x = 2,493,387,668.79
  5. Step 5: Solve for x
    x = 2,493,387,668.79/57,120.87
  6. Step 6: Final answer
    x = 43,651.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.