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Finding the Fourth Proportional to 148,587, 205,053.66 and 81,519

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Solution

The fourth proportional to 148,587, 205,053.66 and 81,519 is: 112,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,587 : 205,053.66 = 81,519 : x
  2. Step 2: Convert to fraction form
    148,587/205,053.66 = 81,519/x
  3. Step 3: Cross multiply
    148,587x = 205,053.66 × 81,519
  4. Step 4: Simplify right side
    148,587x = 16,715,769,309.54
  5. Step 5: Solve for x
    x = 16,715,769,309.54/148,587
  6. Step 6: Final answer
    x = 112,498.20

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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.