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Finding the Fourth Proportional to 78,564, 117,849.66 and 22,407.96

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Solution

The fourth proportional to 78,564, 117,849.66 and 22,407.96 is: 33,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564 : 117,849.66 = 22,407.96 : x
  2. Step 2: Convert to fraction form
    78,564/117,849.66 = 22,407.96/x
  3. Step 3: Cross multiply
    78,564x = 117,849.66 × 22,407.96
  4. Step 4: Simplify right side
    78,564x = 2,640,770,467.29
  5. Step 5: Solve for x
    x = 2,640,770,467.29/78,564
  6. Step 6: Final answer
    x = 33,612.98

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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.