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Finding the Fourth Proportional to 76,830.80, 115,343.40 and 41,320.40

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Solution

The fourth proportional to 76,830.80, 115,343.40 and 41,320.40 is: 62,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830.80 : 115,343.40 = 41,320.40 : x
  2. Step 2: Convert to fraction form
    76,830.80/115,343.40 = 41,320.40/x
  3. Step 3: Cross multiply
    76,830.80x = 115,343.40 × 41,320.40
  4. Step 4: Simplify right side
    76,830.80x = 4,766,035,425.36
  5. Step 5: Solve for x
    x = 4,766,035,425.36/76,830.80
  6. Step 6: Final answer
    x = 62,032.88

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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.