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Finding the Fourth Proportional to 148,566, 205,021.12 and 81,498

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Solution

The fourth proportional to 148,566, 205,021.12 and 81,498 is: 112,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,566 : 205,021.12 = 81,498 : x
  2. Step 2: Convert to fraction form
    148,566/205,021.12 = 81,498/x
  3. Step 3: Cross multiply
    148,566x = 205,021.12 × 81,498
  4. Step 4: Simplify right side
    148,566x = 16,708,811,237.76
  5. Step 5: Solve for x
    x = 16,708,811,237.76/148,566
  6. Step 6: Final answer
    x = 112,467.26

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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.