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Finding the Fourth Proportional to 156,135.97, 215,468.16 and 84,515.96

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Solution

The fourth proportional to 156,135.97, 215,468.16 and 84,515.96 is: 116,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,135.97 : 215,468.16 = 84,515.96 : x
  2. Step 2: Convert to fraction form
    156,135.97/215,468.16 = 84,515.96/x
  3. Step 3: Cross multiply
    156,135.97x = 215,468.16 × 84,515.96
  4. Step 4: Simplify right side
    156,135.97x = 18,210,498,391.83
  5. Step 5: Solve for x
    x = 18,210,498,391.83/156,135.97
  6. Step 6: Final answer
    x = 116,632.31

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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.