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Finding the Fourth Proportional to 83,213.60, 124,820.40 and 78,936.80

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Solution

The fourth proportional to 83,213.60, 124,820.40 and 78,936.80 is: 118,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.60 : 124,820.40 = 78,936.80 : x
  2. Step 2: Convert to fraction form
    83,213.60/124,820.40 = 78,936.80/x
  3. Step 3: Cross multiply
    83,213.60x = 124,820.40 × 78,936.80
  4. Step 4: Simplify right side
    83,213.60x = 9,852,922,950.72
  5. Step 5: Solve for x
    x = 9,852,922,950.72/83,213.60
  6. Step 6: Final answer
    x = 118,405.20

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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.