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Finding the Fourth Proportional to 156,930.76, 216,564.42 and 85,310.56

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Solution

The fourth proportional to 156,930.76, 216,564.42 and 85,310.56 is: 117,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,930.76 : 216,564.42 = 85,310.56 : x
  2. Step 2: Convert to fraction form
    156,930.76/216,564.42 = 85,310.56/x
  3. Step 3: Cross multiply
    156,930.76x = 216,564.42 × 85,310.56
  4. Step 4: Simplify right side
    156,930.76x = 18,475,231,946.28
  5. Step 5: Solve for x
    x = 18,475,231,946.28/156,930.76
  6. Step 6: Final answer
    x = 117,728.56

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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.