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Finding the Fourth Proportional to 65,463.91, 90,344.06 and 49,302.71

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Solution

The fourth proportional to 65,463.91, 90,344.06 and 49,302.71 is: 68,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,463.91 : 90,344.06 = 49,302.71 : x
  2. Step 2: Convert to fraction form
    65,463.91/90,344.06 = 49,302.71/x
  3. Step 3: Cross multiply
    65,463.91x = 90,344.06 × 49,302.71
  4. Step 4: Simplify right side
    65,463.91x = 4,454,207,339.52
  5. Step 5: Solve for x
    x = 4,454,207,339.52/65,463.91
  6. Step 6: Final answer
    x = 68,040.66

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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.