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Finding the Fourth Proportional to 285,981, 428,969.64 and 72,747.08

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Solution

The fourth proportional to 285,981, 428,969.64 and 72,747.08 is: 109,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,981 : 428,969.64 = 72,747.08 : x
  2. Step 2: Convert to fraction form
    285,981/428,969.64 = 72,747.08/x
  3. Step 3: Cross multiply
    285,981x = 428,969.64 × 72,747.08
  4. Step 4: Simplify right side
    285,981x = 31,206,288,718.65
  5. Step 5: Solve for x
    x = 31,206,288,718.65/285,981
  6. Step 6: Final answer
    x = 109,120.15

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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.