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Finding the Fourth Proportional to 149,658.30, 206,532.80 and 81,679.63

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Solution

The fourth proportional to 149,658.30, 206,532.80 and 81,679.63 is: 112,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,658.30 : 206,532.80 = 81,679.63 : x
  2. Step 2: Convert to fraction form
    149,658.30/206,532.80 = 81,679.63/x
  3. Step 3: Cross multiply
    149,658.30x = 206,532.80 × 81,679.63
  4. Step 4: Simplify right side
    149,658.30x = 16,869,522,686.86
  5. Step 5: Solve for x
    x = 16,869,522,686.86/149,658.30
  6. Step 6: Final answer
    x = 112,720.26

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1.5x scale

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.