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Finding the Fourth Proportional to 178,769.97, 268,154.91 and 45,645.45

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Solution

The fourth proportional to 178,769.97, 268,154.91 and 45,645.45 is: 68,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,769.97 : 268,154.91 = 45,645.45 : x
  2. Step 2: Convert to fraction form
    178,769.97/268,154.91 = 45,645.45/x
  3. Step 3: Cross multiply
    178,769.97x = 268,154.91 × 45,645.45
  4. Step 4: Simplify right side
    178,769.97x = 12,240,051,536.66
  5. Step 5: Solve for x
    x = 12,240,051,536.66/178,769.97
  6. Step 6: Final answer
    x = 68,468.16

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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.