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Finding the Fourth Proportional to 66,705.90, 100,115.55 and 27,291.30

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Solution

The fourth proportional to 66,705.90, 100,115.55 and 27,291.30 is: 40,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,705.90 : 100,115.55 = 27,291.30 : x
  2. Step 2: Convert to fraction form
    66,705.90/100,115.55 = 27,291.30/x
  3. Step 3: Cross multiply
    66,705.90x = 100,115.55 × 27,291.30
  4. Step 4: Simplify right side
    66,705.90x = 2,732,283,509.72
  5. Step 5: Solve for x
    x = 2,732,283,509.72/66,705.90
  6. Step 6: Final answer
    x = 40,960.15

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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.