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Finding the Fourth Proportional to 66,498, 99,765.75 and 27,083.40

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Solution

The fourth proportional to 66,498, 99,765.75 and 27,083.40 is: 40,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498 : 99,765.75 = 27,083.40 : x
  2. Step 2: Convert to fraction form
    66,498/99,765.75 = 27,083.40/x
  3. Step 3: Cross multiply
    66,498x = 99,765.75 × 27,083.40
  4. Step 4: Simplify right side
    66,498x = 2,701,995,713.55
  5. Step 5: Solve for x
    x = 2,701,995,713.55/66,498
  6. Step 6: Final answer
    x = 40,632.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.