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Finding the Fourth Proportional to 77,380.80, 115,917.60 and 42,257.60

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Solution

The fourth proportional to 77,380.80, 115,917.60 and 42,257.60 is: 63,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,380.80 : 115,917.60 = 42,257.60 : x
  2. Step 2: Convert to fraction form
    77,380.80/115,917.60 = 42,257.60/x
  3. Step 3: Cross multiply
    77,380.80x = 115,917.60 × 42,257.60
  4. Step 4: Simplify right side
    77,380.80x = 4,898,399,573.76
  5. Step 5: Solve for x
    x = 4,898,399,573.76/77,380.80
  6. Step 6: Final answer
    x = 63,302.52

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1.5x scale

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.