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Finding the Fourth Proportional to 77,221.70, 115,643.91 and 47,598.78

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Solution

The fourth proportional to 77,221.70, 115,643.91 and 47,598.78 is: 71,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,221.70 : 115,643.91 = 47,598.78 : x
  2. Step 2: Convert to fraction form
    77,221.70/115,643.91 = 47,598.78/x
  3. Step 3: Cross multiply
    77,221.70x = 115,643.91 × 47,598.78
  4. Step 4: Simplify right side
    77,221.70x = 5,504,509,030.43
  5. Step 5: Solve for x
    x = 5,504,509,030.43/77,221.70
  6. Step 6: Final answer
    x = 71,281.90

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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.