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Finding the Fourth Proportional to 81,206.52, 112,065.80 and 45,398.49

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Solution

The fourth proportional to 81,206.52, 112,065.80 and 45,398.49 is: 62,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,206.52 : 112,065.80 = 45,398.49 : x
  2. Step 2: Convert to fraction form
    81,206.52/112,065.80 = 45,398.49/x
  3. Step 3: Cross multiply
    81,206.52x = 112,065.80 × 45,398.49
  4. Step 4: Simplify right side
    81,206.52x = 5,087,617,873.65
  5. Step 5: Solve for x
    x = 5,087,617,873.65/81,206.52
  6. Step 6: Final answer
    x = 62,650.36

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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.