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Finding the Fourth Proportional to 148,921, 205,510.98 and 81,853

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Solution

The fourth proportional to 148,921, 205,510.98 and 81,853 is: 112,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,921 : 205,510.98 = 81,853 : x
  2. Step 2: Convert to fraction form
    148,921/205,510.98 = 81,853/x
  3. Step 3: Cross multiply
    148,921x = 205,510.98 × 81,853
  4. Step 4: Simplify right side
    148,921x = 16,821,690,245.94
  5. Step 5: Solve for x
    x = 16,821,690,245.94/148,921
  6. Step 6: Final answer
    x = 112,957.14

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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.