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Finding the Fourth Proportional to 128,531.94, 192,877.74 and 61,978.92

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Solution

The fourth proportional to 128,531.94, 192,877.74 and 61,978.92 is: 93,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,531.94 : 192,877.74 = 61,978.92 : x
  2. Step 2: Convert to fraction form
    128,531.94/192,877.74 = 61,978.92/x
  3. Step 3: Cross multiply
    128,531.94x = 192,877.74 × 61,978.92
  4. Step 4: Simplify right side
    128,531.94x = 11,954,354,017.24
  5. Step 5: Solve for x
    x = 11,954,354,017.24/128,531.94
  6. Step 6: Final answer
    x = 93,006.87

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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.