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Finding the Fourth Proportional to 149,381.78, 206,146.89 and 81,398.77

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Solution

The fourth proportional to 149,381.78, 206,146.89 and 81,398.77 is: 112,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,381.78 : 206,146.89 = 81,398.77 : x
  2. Step 2: Convert to fraction form
    149,381.78/206,146.89 = 81,398.77/x
  3. Step 3: Cross multiply
    149,381.78x = 206,146.89 × 81,398.77
  4. Step 4: Simplify right side
    149,381.78x = 16,780,102,769.96
  5. Step 5: Solve for x
    x = 16,780,102,769.96/149,381.78
  6. Step 6: Final answer
    x = 112,330.32

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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.