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Finding the Fourth Proportional to 156,872.57, 216,478.17 and 85,251.02

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Solution

The fourth proportional to 156,872.57, 216,478.17 and 85,251.02 is: 117,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,872.57 : 216,478.17 = 85,251.02 : x
  2. Step 2: Convert to fraction form
    156,872.57/216,478.17 = 85,251.02/x
  3. Step 3: Cross multiply
    156,872.57x = 216,478.17 × 85,251.02
  4. Step 4: Simplify right side
    156,872.57x = 18,454,983,717.84
  5. Step 5: Solve for x
    x = 18,454,983,717.84/156,872.57
  6. Step 6: Final answer
    x = 117,643.16

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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.