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Finding the Fourth Proportional to 81,499.60, 112,479.24 and 77,956.48

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Solution

The fourth proportional to 81,499.60, 112,479.24 and 77,956.48 is: 107,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,499.60 : 112,479.24 = 77,956.48 : x
  2. Step 2: Convert to fraction form
    81,499.60/112,479.24 = 77,956.48/x
  3. Step 3: Cross multiply
    81,499.60x = 112,479.24 × 77,956.48
  4. Step 4: Simplify right side
    81,499.60x = 8,768,485,623.48
  5. Step 5: Solve for x
    x = 8,768,485,623.48/81,499.60
  6. Step 6: Final answer
    x = 107,589.31

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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.