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Finding the Fourth Proportional to 80,076.72, 119,881.74 and 77,044.08

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Solution

The fourth proportional to 80,076.72, 119,881.74 and 77,044.08 is: 115,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,076.72 : 119,881.74 = 77,044.08 : x
  2. Step 2: Convert to fraction form
    80,076.72/119,881.74 = 77,044.08/x
  3. Step 3: Cross multiply
    80,076.72x = 119,881.74 × 77,044.08
  4. Step 4: Simplify right side
    80,076.72x = 9,236,178,367.10
  5. Step 5: Solve for x
    x = 9,236,178,367.10/80,076.72
  6. Step 6: Final answer
    x = 115,341.62

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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.