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Finding the Fourth Proportional to 83,209.71, 124,845.74 and 43,203.72

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Solution

The fourth proportional to 83,209.71, 124,845.74 and 43,203.72 is: 64,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.71 : 124,845.74 = 43,203.72 : x
  2. Step 2: Convert to fraction form
    83,209.71/124,845.74 = 43,203.72/x
  3. Step 3: Cross multiply
    83,209.71x = 124,845.74 × 43,203.72
  4. Step 4: Simplify right side
    83,209.71x = 5,393,800,502.16
  5. Step 5: Solve for x
    x = 5,393,800,502.16/83,209.71
  6. Step 6: Final answer
    x = 64,821.77

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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.