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Finding the Fourth Proportional to 156,128, 215,397.84 and 102,442.64

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Solution

The fourth proportional to 156,128, 215,397.84 and 102,442.64 is: 141,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,128 : 215,397.84 = 102,442.64 : x
  2. Step 2: Convert to fraction form
    156,128/215,397.84 = 102,442.64/x
  3. Step 3: Cross multiply
    156,128x = 215,397.84 × 102,442.64
  4. Step 4: Simplify right side
    156,128x = 22,065,923,379.90
  5. Step 5: Solve for x
    x = 22,065,923,379.90/156,128
  6. Step 6: Final answer
    x = 141,332.26

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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.