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Finding the Fourth Proportional to 148,031, 204,282.78 and 80,963

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Solution

The fourth proportional to 148,031, 204,282.78 and 80,963 is: 111,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,031 : 204,282.78 = 80,963 : x
  2. Step 2: Convert to fraction form
    148,031/204,282.78 = 80,963/x
  3. Step 3: Cross multiply
    148,031x = 204,282.78 × 80,963
  4. Step 4: Simplify right side
    148,031x = 16,539,346,717.14
  5. Step 5: Solve for x
    x = 16,539,346,717.14/148,031
  6. Step 6: Final answer
    x = 111,728.94

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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.