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Finding the Fourth Proportional to 156,908.73, 216,532.77 and 85,288.53

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Solution

The fourth proportional to 156,908.73, 216,532.77 and 85,288.53 is: 117,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,908.73 : 216,532.77 = 85,288.53 : x
  2. Step 2: Convert to fraction form
    156,908.73/216,532.77 = 85,288.53/x
  3. Step 3: Cross multiply
    156,908.73x = 216,532.77 × 85,288.53
  4. Step 4: Simplify right side
    156,908.73x = 18,467,761,650.13
  5. Step 5: Solve for x
    x = 18,467,761,650.13/156,908.73
  6. Step 6: Final answer
    x = 117,697.48

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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.