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Finding the Fourth Proportional to 65,414, 90,283.08 and 38,554.92

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Solution

The fourth proportional to 65,414, 90,283.08 and 38,554.92 is: 53,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414 : 90,283.08 = 38,554.92 : x
  2. Step 2: Convert to fraction form
    65,414/90,283.08 = 38,554.92/x
  3. Step 3: Cross multiply
    65,414x = 90,283.08 × 38,554.92
  4. Step 4: Simplify right side
    65,414x = 3,480,856,926.75
  5. Step 5: Solve for x
    x = 3,480,856,926.75/65,414
  6. Step 6: Final answer
    x = 53,212.72

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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.