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Finding the Fourth Proportional to 148,500, 204,939.78 and 81,432

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Solution

The fourth proportional to 148,500, 204,939.78 and 81,432 is: 112,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,500 : 204,939.78 = 81,432 : x
  2. Step 2: Convert to fraction form
    148,500/204,939.78 = 81,432/x
  3. Step 3: Cross multiply
    148,500x = 204,939.78 × 81,432
  4. Step 4: Simplify right side
    148,500x = 16,688,656,164.96
  5. Step 5: Solve for x
    x = 16,688,656,164.96/148,500
  6. Step 6: Final answer
    x = 112,381.52

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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.