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Finding the Fourth Proportional to 65,244.68, 90,033.39 and 38,382

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Solution

The fourth proportional to 65,244.68, 90,033.39 and 38,382 is: 52,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,244.68 : 90,033.39 = 38,382 : x
  2. Step 2: Convert to fraction form
    65,244.68/90,033.39 = 38,382/x
  3. Step 3: Cross multiply
    65,244.68x = 90,033.39 × 38,382
  4. Step 4: Simplify right side
    65,244.68x = 3,455,661,574.98
  5. Step 5: Solve for x
    x = 3,455,661,574.98/65,244.68
  6. Step 6: Final answer
    x = 52,964.65

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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.