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Finding the Fourth Proportional to 77,679.80, 116,438.90 and 52,721.88

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Solution

The fourth proportional to 77,679.80, 116,438.90 and 52,721.88 is: 79,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679.80 : 116,438.90 = 52,721.88 : x
  2. Step 2: Convert to fraction form
    77,679.80/116,438.90 = 52,721.88/x
  3. Step 3: Cross multiply
    77,679.80x = 116,438.90 × 52,721.88
  4. Step 4: Simplify right side
    77,679.80x = 6,138,877,449.52
  5. Step 5: Solve for x
    x = 6,138,877,449.52/77,679.80
  6. Step 6: Final answer
    x = 79,027.98

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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.