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Finding the Fourth Proportional to 66,013.56, 98,905.14 and 54,991.08

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Solution

The fourth proportional to 66,013.56, 98,905.14 and 54,991.08 is: 82,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,013.56 : 98,905.14 = 54,991.08 : x
  2. Step 2: Convert to fraction form
    66,013.56/98,905.14 = 54,991.08/x
  3. Step 3: Cross multiply
    66,013.56x = 98,905.14 × 54,991.08
  4. Step 4: Simplify right side
    66,013.56x = 5,438,900,466.15
  5. Step 5: Solve for x
    x = 5,438,900,466.15/66,013.56
  6. Step 6: Final answer
    x = 82,390.66

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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.