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Finding the Fourth Proportional to 156,394, 215,824.10 and 84,773.70

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Solution

The fourth proportional to 156,394, 215,824.10 and 84,773.70 is: 116,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,394 : 215,824.10 = 84,773.70 : x
  2. Step 2: Convert to fraction form
    156,394/215,824.10 = 84,773.70/x
  3. Step 3: Cross multiply
    156,394x = 215,824.10 × 84,773.70
  4. Step 4: Simplify right side
    156,394x = 18,296,207,506.17
  5. Step 5: Solve for x
    x = 18,296,207,506.17/156,394
  6. Step 6: Final answer
    x = 116,987.91

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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.