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Finding the Fourth Proportional to 74,428.32, 111,642.48 and 27,668.64

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Solution

The fourth proportional to 74,428.32, 111,642.48 and 27,668.64 is: 41,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,428.32 : 111,642.48 = 27,668.64 : x
  2. Step 2: Convert to fraction form
    74,428.32/111,642.48 = 27,668.64/x
  3. Step 3: Cross multiply
    74,428.32x = 111,642.48 × 27,668.64
  4. Step 4: Simplify right side
    74,428.32x = 3,088,995,587.83
  5. Step 5: Solve for x
    x = 3,088,995,587.83/74,428.32
  6. Step 6: Final answer
    x = 41,502.96

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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.