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Finding the Fourth Proportional to 230,648.28, 345,970.35 and 72,876.75

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Solution

The fourth proportional to 230,648.28, 345,970.35 and 72,876.75 is: 109,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,648.28 : 345,970.35 = 72,876.75 : x
  2. Step 2: Convert to fraction form
    230,648.28/345,970.35 = 72,876.75/x
  3. Step 3: Cross multiply
    230,648.28x = 345,970.35 × 72,876.75
  4. Step 4: Simplify right side
    230,648.28x = 25,213,194,704.36
  5. Step 5: Solve for x
    x = 25,213,194,704.36/230,648.28
  6. Step 6: Final answer
    x = 109,314.47

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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.