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Finding the Fourth Proportional to 230,643.69, 345,963.45 and 72,872.13

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Solution

The fourth proportional to 230,643.69, 345,963.45 and 72,872.13 is: 109,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,643.69 : 345,963.45 = 72,872.13 : x
  2. Step 2: Convert to fraction form
    230,643.69/345,963.45 = 72,872.13/x
  3. Step 3: Cross multiply
    230,643.69x = 345,963.45 × 72,872.13
  4. Step 4: Simplify right side
    230,643.69x = 25,211,093,503.65
  5. Step 5: Solve for x
    x = 25,211,093,503.65/230,643.69
  6. Step 6: Final answer
    x = 109,307.54

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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.