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Finding the Fourth Proportional to 156,641.49, 216,159.46 and 85,019.98

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Solution

The fourth proportional to 156,641.49, 216,159.46 and 85,019.98 is: 117,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,641.49 : 216,159.46 = 85,019.98 : x
  2. Step 2: Convert to fraction form
    156,641.49/216,159.46 = 85,019.98/x
  3. Step 3: Cross multiply
    156,641.49x = 216,159.46 × 85,019.98
  4. Step 4: Simplify right side
    156,641.49x = 18,377,872,966.01
  5. Step 5: Solve for x
    x = 18,377,872,966.01/156,641.49
  6. Step 6: Final answer
    x = 117,324.43

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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.