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Finding the Fourth Proportional to 156,209.47, 215,569.01 and 84,589.47

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Solution

The fourth proportional to 156,209.47, 215,569.01 and 84,589.47 is: 116,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,209.47 : 215,569.01 = 84,589.47 : x
  2. Step 2: Convert to fraction form
    156,209.47/215,569.01 = 84,589.47/x
  3. Step 3: Cross multiply
    156,209.47x = 215,569.01 × 84,589.47
  4. Step 4: Simplify right side
    156,209.47x = 18,234,868,515.80
  5. Step 5: Solve for x
    x = 18,234,868,515.80/156,209.47
  6. Step 6: Final answer
    x = 116,733.44

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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.