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Finding the Fourth Proportional to 77,679.40, 107,208.16 and 45,423.88

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Solution

The fourth proportional to 77,679.40, 107,208.16 and 45,423.88 is: 62,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679.40 : 107,208.16 = 45,423.88 : x
  2. Step 2: Convert to fraction form
    77,679.40/107,208.16 = 45,423.88/x
  3. Step 3: Cross multiply
    77,679.40x = 107,208.16 × 45,423.88
  4. Step 4: Simplify right side
    77,679.40x = 4,869,810,594.86
  5. Step 5: Solve for x
    x = 4,869,810,594.86/77,679.40
  6. Step 6: Final answer
    x = 62,691.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.