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Finding the Fourth Proportional to 65,170.94, 89,949.96 and 39,685.76

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Solution

The fourth proportional to 65,170.94, 89,949.96 and 39,685.76 is: 54,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170.94 : 89,949.96 = 39,685.76 : x
  2. Step 2: Convert to fraction form
    65,170.94/89,949.96 = 39,685.76/x
  3. Step 3: Cross multiply
    65,170.94x = 89,949.96 × 39,685.76
  4. Step 4: Simplify right side
    65,170.94x = 3,569,732,524.57
  5. Step 5: Solve for x
    x = 3,569,732,524.57/65,170.94
  6. Step 6: Final answer
    x = 54,774.91

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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.