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Finding the Fourth Proportional to 128,323.92, 192,510 and 49,431.36

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Solution

The fourth proportional to 128,323.92, 192,510 and 49,431.36 is: 74,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,323.92 : 192,510 = 49,431.36 : x
  2. Step 2: Convert to fraction form
    128,323.92/192,510 = 49,431.36/x
  3. Step 3: Cross multiply
    128,323.92x = 192,510 × 49,431.36
  4. Step 4: Simplify right side
    128,323.92x = 9,516,031,113.60
  5. Step 5: Solve for x
    x = 9,516,031,113.60/128,323.92
  6. Step 6: Final answer
    x = 74,156.33

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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.