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Finding the Fourth Proportional to 128,242.32, 192,102.24 and 104,634

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Solution

The fourth proportional to 128,242.32, 192,102.24 and 104,634 is: 156,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,242.32 : 192,102.24 = 104,634 : x
  2. Step 2: Convert to fraction form
    128,242.32/192,102.24 = 104,634/x
  3. Step 3: Cross multiply
    128,242.32x = 192,102.24 × 104,634
  4. Step 4: Simplify right side
    128,242.32x = 20,100,425,780.16
  5. Step 5: Solve for x
    x = 20,100,425,780.16/128,242.32
  6. Step 6: Final answer
    x = 156,737.85

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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.