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Finding the Fourth Proportional to 167,398.85, 250,884.74 and 78,456.40

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Solution

The fourth proportional to 167,398.85, 250,884.74 and 78,456.40 is: 117,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,398.85 : 250,884.74 = 78,456.40 : x
  2. Step 2: Convert to fraction form
    167,398.85/250,884.74 = 78,456.40/x
  3. Step 3: Cross multiply
    167,398.85x = 250,884.74 × 78,456.40
  4. Step 4: Simplify right side
    167,398.85x = 19,683,513,084.27
  5. Step 5: Solve for x
    x = 19,683,513,084.27/167,398.85
  6. Step 6: Final answer
    x = 117,584.52

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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.