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Finding the Fourth Proportional to 80,422.86, 120,635.32 and 21,258.01

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Solution

The fourth proportional to 80,422.86, 120,635.32 and 21,258.01 is: 31,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,422.86 : 120,635.32 = 21,258.01 : x
  2. Step 2: Convert to fraction form
    80,422.86/120,635.32 = 21,258.01/x
  3. Step 3: Cross multiply
    80,422.86x = 120,635.32 × 21,258.01
  4. Step 4: Simplify right side
    80,422.86x = 2,564,466,838.91
  5. Step 5: Solve for x
    x = 2,564,466,838.91/80,422.86
  6. Step 6: Final answer
    x = 31,887.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.