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Finding the Fourth Proportional to 75,866.80, 113,929.80 and 49,687.60

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Solution

The fourth proportional to 75,866.80, 113,929.80 and 49,687.60 is: 74,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,866.80 : 113,929.80 = 49,687.60 : x
  2. Step 2: Convert to fraction form
    75,866.80/113,929.80 = 49,687.60/x
  3. Step 3: Cross multiply
    75,866.80x = 113,929.80 × 49,687.60
  4. Step 4: Simplify right side
    75,866.80x = 5,660,898,330.48
  5. Step 5: Solve for x
    x = 5,660,898,330.48/75,866.80
  6. Step 6: Final answer
    x = 74,616.28

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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.