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Finding the Fourth Proportional to 77,782.95, 116,415.23 and 71,562.15

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Solution

The fourth proportional to 77,782.95, 116,415.23 and 71,562.15 is: 107,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.95 : 116,415.23 = 71,562.15 : x
  2. Step 2: Convert to fraction form
    77,782.95/116,415.23 = 71,562.15/x
  3. Step 3: Cross multiply
    77,782.95x = 116,415.23 × 71,562.15
  4. Step 4: Simplify right side
    77,782.95x = 8,330,923,793.73
  5. Step 5: Solve for x
    x = 8,330,923,793.73/77,782.95
  6. Step 6: Final answer
    x = 107,104.75

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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.