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Finding the Fourth Proportional to 149,253.80, 205,969.92 and 81,269.72

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Solution

The fourth proportional to 149,253.80, 205,969.92 and 81,269.72 is: 112,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,253.80 : 205,969.92 = 81,269.72 : x
  2. Step 2: Convert to fraction form
    149,253.80/205,969.92 = 81,269.72/x
  3. Step 3: Cross multiply
    149,253.80x = 205,969.92 × 81,269.72
  4. Step 4: Simplify right side
    149,253.80x = 16,739,117,726.82
  5. Step 5: Solve for x
    x = 16,739,117,726.82/149,253.80
  6. Step 6: Final answer
    x = 112,152.04

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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.