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Finding the Fourth Proportional to 78,543.88, 117,798.07 and 22,382.78

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Solution

The fourth proportional to 78,543.88, 117,798.07 and 22,382.78 is: 33,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543.88 : 117,798.07 = 22,382.78 : x
  2. Step 2: Convert to fraction form
    78,543.88/117,798.07 = 22,382.78/x
  3. Step 3: Cross multiply
    78,543.88x = 117,798.07 × 22,382.78
  4. Step 4: Simplify right side
    78,543.88x = 2,636,648,407.82
  5. Step 5: Solve for x
    x = 2,636,648,407.82/78,543.88
  6. Step 6: Final answer
    x = 33,569.11

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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.