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Finding the Fourth Proportional to 149,049.76, 205,703.76 and 85,396

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Solution

The fourth proportional to 149,049.76, 205,703.76 and 85,396 is: 117,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,049.76 : 205,703.76 = 85,396 : x
  2. Step 2: Convert to fraction form
    149,049.76/205,703.76 = 85,396/x
  3. Step 3: Cross multiply
    149,049.76x = 205,703.76 × 85,396
  4. Step 4: Simplify right side
    149,049.76x = 17,566,278,288.96
  5. Step 5: Solve for x
    x = 17,566,278,288.96/149,049.76
  6. Step 6: Final answer
    x = 117,855.13

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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.