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Finding the Fourth Proportional to 148,906.12, 205,525.86 and 85,280.68

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Solution

The fourth proportional to 148,906.12, 205,525.86 and 85,280.68 is: 117,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,906.12 : 205,525.86 = 85,280.68 : x
  2. Step 2: Convert to fraction form
    148,906.12/205,525.86 = 85,280.68/x
  3. Step 3: Cross multiply
    148,906.12x = 205,525.86 × 85,280.68
  4. Step 4: Simplify right side
    148,906.12x = 17,527,385,098.38
  5. Step 5: Solve for x
    x = 17,527,385,098.38/148,906.12
  6. Step 6: Final answer
    x = 117,707.62

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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.