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Finding the Fourth Proportional to 230,140.31, 345,264.75 and 72,368.75

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Solution

The fourth proportional to 230,140.31, 345,264.75 and 72,368.75 is: 108,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,140.31 : 345,264.75 = 72,368.75 : x
  2. Step 2: Convert to fraction form
    230,140.31/345,264.75 = 72,368.75/x
  3. Step 3: Cross multiply
    230,140.31x = 345,264.75 × 72,368.75
  4. Step 4: Simplify right side
    230,140.31x = 24,986,379,239.72
  5. Step 5: Solve for x
    x = 24,986,379,239.72/230,140.31
  6. Step 6: Final answer
    x = 108,570.20

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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.