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Finding the Fourth Proportional to 78,841.84, 118,279.62 and 22,681.42

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Solution

The fourth proportional to 78,841.84, 118,279.62 and 22,681.42 is: 34,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,841.84 : 118,279.62 = 22,681.42 : x
  2. Step 2: Convert to fraction form
    78,841.84/118,279.62 = 22,681.42/x
  3. Step 3: Cross multiply
    78,841.84x = 118,279.62 × 22,681.42
  4. Step 4: Simplify right side
    78,841.84x = 2,682,749,738.66
  5. Step 5: Solve for x
    x = 2,682,749,738.66/78,841.84
  6. Step 6: Final answer
    x = 34,026.98

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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.