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Finding the Fourth Proportional to 218,842.62, 302,005.11 and 123,349.31

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Solution

The fourth proportional to 218,842.62, 302,005.11 and 123,349.31 is: 170,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,842.62 : 302,005.11 = 123,349.31 : x
  2. Step 2: Convert to fraction form
    218,842.62/302,005.11 = 123,349.31/x
  3. Step 3: Cross multiply
    218,842.62x = 302,005.11 × 123,349.31
  4. Step 4: Simplify right side
    218,842.62x = 37,252,123,024.97
  5. Step 5: Solve for x
    x = 37,252,123,024.97/218,842.62
  6. Step 6: Final answer
    x = 170,223.35

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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.