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Finding the Fourth Proportional to 65,252, 90,013.02 and 49,308.78

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Solution

The fourth proportional to 65,252, 90,013.02 and 49,308.78 is: 68,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252 : 90,013.02 = 49,308.78 : x
  2. Step 2: Convert to fraction form
    65,252/90,013.02 = 49,308.78/x
  3. Step 3: Cross multiply
    65,252x = 90,013.02 × 49,308.78
  4. Step 4: Simplify right side
    65,252x = 4,438,432,200.32
  5. Step 5: Solve for x
    x = 4,438,432,200.32/65,252
  6. Step 6: Final answer
    x = 68,019.86

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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.