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Finding the Fourth Proportional to 66,538, 99,836.69 and 36,152.35

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Solution

The fourth proportional to 66,538, 99,836.69 and 36,152.35 is: 54,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538 : 99,836.69 = 36,152.35 : x
  2. Step 2: Convert to fraction form
    66,538/99,836.69 = 36,152.35/x
  3. Step 3: Cross multiply
    66,538x = 99,836.69 × 36,152.35
  4. Step 4: Simplify right side
    66,538x = 3,609,330,959.72
  5. Step 5: Solve for x
    x = 3,609,330,959.72/66,538
  6. Step 6: Final answer
    x = 54,244.66

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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.