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Finding the Fourth Proportional to 148,854.52, 205,419.20 and 81,786.52

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Solution

The fourth proportional to 148,854.52, 205,419.20 and 81,786.52 is: 112,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,854.52 : 205,419.20 = 81,786.52 : x
  2. Step 2: Convert to fraction form
    148,854.52/205,419.20 = 81,786.52/x
  3. Step 3: Cross multiply
    148,854.52x = 205,419.20 × 81,786.52
  4. Step 4: Simplify right side
    148,854.52x = 16,800,521,509.18
  5. Step 5: Solve for x
    x = 16,800,521,509.18/148,854.52
  6. Step 6: Final answer
    x = 112,865.38

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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.