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Finding the Fourth Proportional to 178,257.84, 267,342.72 and 78,443.04

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Solution

The fourth proportional to 178,257.84, 267,342.72 and 78,443.04 is: 117,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,257.84 : 267,342.72 = 78,443.04 : x
  2. Step 2: Convert to fraction form
    178,257.84/267,342.72 = 78,443.04/x
  3. Step 3: Cross multiply
    178,257.84x = 267,342.72 × 78,443.04
  4. Step 4: Simplify right side
    178,257.84x = 20,971,175,678.67
  5. Step 5: Solve for x
    x = 20,971,175,678.67/178,257.84
  6. Step 6: Final answer
    x = 117,645.18

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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.