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Finding the Fourth Proportional to 128,912.28, 193,373.66 and 61,409.61

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Solution

The fourth proportional to 128,912.28, 193,373.66 and 61,409.61 is: 92,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,912.28 : 193,373.66 = 61,409.61 : x
  2. Step 2: Convert to fraction form
    128,912.28/193,373.66 = 61,409.61/x
  3. Step 3: Cross multiply
    128,912.28x = 193,373.66 × 61,409.61
  4. Step 4: Simplify right side
    128,912.28x = 11,875,000,737.82
  5. Step 5: Solve for x
    x = 11,875,000,737.82/128,912.28
  6. Step 6: Final answer
    x = 92,116.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.