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Finding the Fourth Proportional to 81,102.79, 111,922.32 and 45,295.93

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Solution

The fourth proportional to 81,102.79, 111,922.32 and 45,295.93 is: 62,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102.79 : 111,922.32 = 45,295.93 : x
  2. Step 2: Convert to fraction form
    81,102.79/111,922.32 = 45,295.93/x
  3. Step 3: Cross multiply
    81,102.79x = 111,922.32 × 45,295.93
  4. Step 4: Simplify right side
    81,102.79x = 5,069,625,572.16
  5. Step 5: Solve for x
    x = 5,069,625,572.16/81,102.79
  6. Step 6: Final answer
    x = 62,508.65

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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.