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Finding the Fourth Proportional to 83,603.84, 115,371.72 and 47,304.90

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Solution

The fourth proportional to 83,603.84, 115,371.72 and 47,304.90 is: 65,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,603.84 : 115,371.72 = 47,304.90 : x
  2. Step 2: Convert to fraction form
    83,603.84/115,371.72 = 47,304.90/x
  3. Step 3: Cross multiply
    83,603.84x = 115,371.72 × 47,304.90
  4. Step 4: Simplify right side
    83,603.84x = 5,457,647,677.43
  5. Step 5: Solve for x
    x = 5,457,647,677.43/83,603.84
  6. Step 6: Final answer
    x = 65,279.87

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1.5x scale

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.