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Finding the Fourth Proportional to 66,507.90, 99,760.05 and 27,055.14

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Solution

The fourth proportional to 66,507.90, 99,760.05 and 27,055.14 is: 40,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,507.90 : 99,760.05 = 27,055.14 : x
  2. Step 2: Convert to fraction form
    66,507.90/99,760.05 = 27,055.14/x
  3. Step 3: Cross multiply
    66,507.90x = 99,760.05 × 27,055.14
  4. Step 4: Simplify right side
    66,507.90x = 2,699,022,119.16
  5. Step 5: Solve for x
    x = 2,699,022,119.16/66,507.90
  6. Step 6: Final answer
    x = 40,581.98

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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.