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Finding the Fourth Proportional to 156,383.21, 215,807.37 and 87,471.86

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Solution

The fourth proportional to 156,383.21, 215,807.37 and 87,471.86 is: 120,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,383.21 : 215,807.37 = 87,471.86 : x
  2. Step 2: Convert to fraction form
    156,383.21/215,807.37 = 87,471.86/x
  3. Step 3: Cross multiply
    156,383.21x = 215,807.37 × 87,471.86
  4. Step 4: Simplify right side
    156,383.21x = 18,877,070,976.57
  5. Step 5: Solve for x
    x = 18,877,070,976.57/156,383.21
  6. Step 6: Final answer
    x = 120,710.35

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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.