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Finding the Fourth Proportional to 78,456.40, 108,266.31 and 44,462.88

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Solution

The fourth proportional to 78,456.40, 108,266.31 and 44,462.88 is: 61,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,456.40 : 108,266.31 = 44,462.88 : x
  2. Step 2: Convert to fraction form
    78,456.40/108,266.31 = 44,462.88/x
  3. Step 3: Cross multiply
    78,456.40x = 108,266.31 × 44,462.88
  4. Step 4: Simplify right side
    78,456.40x = 4,813,831,949.57
  5. Step 5: Solve for x
    x = 4,813,831,949.57/78,456.40
  6. Step 6: Final answer
    x = 61,356.78

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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.