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Finding the Fourth Proportional to 78,934.92, 118,401.84 and 19,770.36

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Solution

The fourth proportional to 78,934.92, 118,401.84 and 19,770.36 is: 29,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,934.92 : 118,401.84 = 19,770.36 : x
  2. Step 2: Convert to fraction form
    78,934.92/118,401.84 = 19,770.36/x
  3. Step 3: Cross multiply
    78,934.92x = 118,401.84 × 19,770.36
  4. Step 4: Simplify right side
    78,934.92x = 2,340,847,001.46
  5. Step 5: Solve for x
    x = 2,340,847,001.46/78,934.92
  6. Step 6: Final answer
    x = 29,655.40

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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.