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Finding the Fourth Proportional to 148,549, 205,000.74 and 81,481

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Solution

The fourth proportional to 148,549, 205,000.74 and 81,481 is: 112,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,549 : 205,000.74 = 81,481 : x
  2. Step 2: Convert to fraction form
    148,549/205,000.74 = 81,481/x
  3. Step 3: Cross multiply
    148,549x = 205,000.74 × 81,481
  4. Step 4: Simplify right side
    148,549x = 16,703,665,295.94
  5. Step 5: Solve for x
    x = 16,703,665,295.94/148,549
  6. Step 6: Final answer
    x = 112,445.49

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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.