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Finding the Fourth Proportional to 156,348, 215,767.92 and 85,692

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Solution

The fourth proportional to 156,348, 215,767.92 and 85,692 is: 118,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,348 : 215,767.92 = 85,692 : x
  2. Step 2: Convert to fraction form
    156,348/215,767.92 = 85,692/x
  3. Step 3: Cross multiply
    156,348x = 215,767.92 × 85,692
  4. Step 4: Simplify right side
    156,348x = 18,489,584,600.64
  5. Step 5: Solve for x
    x = 18,489,584,600.64/156,348
  6. Step 6: Final answer
    x = 118,259.17

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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.