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Finding the Fourth Proportional to 156,634.61, 216,149.98 and 85,013.09

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Solution

The fourth proportional to 156,634.61, 216,149.98 and 85,013.09 is: 117,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,634.61 : 216,149.98 = 85,013.09 : x
  2. Step 2: Convert to fraction form
    156,634.61/216,149.98 = 85,013.09/x
  3. Step 3: Cross multiply
    156,634.61x = 216,149.98 × 85,013.09
  4. Step 4: Simplify right side
    156,634.61x = 18,375,578,595.76
  5. Step 5: Solve for x
    x = 18,375,578,595.76/156,634.61
  6. Step 6: Final answer
    x = 117,314.93

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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.