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Finding the Fourth Proportional to 78,982.48, 108,983.64 and 45,442

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Solution

The fourth proportional to 78,982.48, 108,983.64 and 45,442 is: 62,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,982.48 : 108,983.64 = 45,442 : x
  2. Step 2: Convert to fraction form
    78,982.48/108,983.64 = 45,442/x
  3. Step 3: Cross multiply
    78,982.48x = 108,983.64 × 45,442
  4. Step 4: Simplify right side
    78,982.48x = 4,952,434,568.88
  5. Step 5: Solve for x
    x = 4,952,434,568.88/78,982.48
  6. Step 6: Final answer
    x = 62,702.95

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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.