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Finding the Fourth Proportional to 125,229.42, 172,834.32 and 77,498.16

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Solution

The fourth proportional to 125,229.42, 172,834.32 and 77,498.16 is: 106,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,229.42 : 172,834.32 = 77,498.16 : x
  2. Step 2: Convert to fraction form
    125,229.42/172,834.32 = 77,498.16/x
  3. Step 3: Cross multiply
    125,229.42x = 172,834.32 × 77,498.16
  4. Step 4: Simplify right side
    125,229.42x = 13,394,341,784.85
  5. Step 5: Solve for x
    x = 13,394,341,784.85/125,229.42
  6. Step 6: Final answer
    x = 106,958.43

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1.5x scale

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.