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Finding the Fourth Proportional to 156,666.57, 216,200.13 and 85,046.64

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Solution

The fourth proportional to 156,666.57, 216,200.13 and 85,046.64 is: 117,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,666.57 : 216,200.13 = 85,046.64 : x
  2. Step 2: Convert to fraction form
    156,666.57/216,200.13 = 85,046.64/x
  3. Step 3: Cross multiply
    156,666.57x = 216,200.13 × 85,046.64
  4. Step 4: Simplify right side
    156,666.57x = 18,387,094,624.06
  5. Step 5: Solve for x
    x = 18,387,094,624.06/156,666.57
  6. Step 6: Final answer
    x = 117,364.51

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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.