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Finding the Fourth Proportional to 81,628.40, 112,658.56 and 45,338

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Solution

The fourth proportional to 81,628.40, 112,658.56 and 45,338 is: 62,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628.40 : 112,658.56 = 45,338 : x
  2. Step 2: Convert to fraction form
    81,628.40/112,658.56 = 45,338/x
  3. Step 3: Cross multiply
    81,628.40x = 112,658.56 × 45,338
  4. Step 4: Simplify right side
    81,628.40x = 5,107,713,793.28
  5. Step 5: Solve for x
    x = 5,107,713,793.28/81,628.40
  6. Step 6: Final answer
    x = 62,572.75

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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.