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Finding the Fourth Proportional to 77,796.80, 116,608.80 and 42,761.60

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Solution

The fourth proportional to 77,796.80, 116,608.80 and 42,761.60 is: 64,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,796.80 : 116,608.80 = 42,761.60 : x
  2. Step 2: Convert to fraction form
    77,796.80/116,608.80 = 42,761.60/x
  3. Step 3: Cross multiply
    77,796.80x = 116,608.80 × 42,761.60
  4. Step 4: Simplify right side
    77,796.80x = 4,986,378,862.08
  5. Step 5: Solve for x
    x = 4,986,378,862.08/77,796.80
  6. Step 6: Final answer
    x = 64,094.91

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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.