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Finding the Fourth Proportional to 66,381.76, 91,696.35 and 61,657.84

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Solution

The fourth proportional to 66,381.76, 91,696.35 and 61,657.84 is: 85,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,381.76 : 91,696.35 = 61,657.84 : x
  2. Step 2: Convert to fraction form
    66,381.76/91,696.35 = 61,657.84/x
  3. Step 3: Cross multiply
    66,381.76x = 91,696.35 × 61,657.84
  4. Step 4: Simplify right side
    66,381.76x = 5,653,798,876.88
  5. Step 5: Solve for x
    x = 5,653,798,876.88/66,381.76
  6. Step 6: Final answer
    x = 85,170.97

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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.