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Finding the Fourth Proportional to 140,402.57, 210,562.25 and 40,563.65

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Solution

The fourth proportional to 140,402.57, 210,562.25 and 40,563.65 is: 60,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,402.57 : 210,562.25 = 40,563.65 : x
  2. Step 2: Convert to fraction form
    140,402.57/210,562.25 = 40,563.65/x
  3. Step 3: Cross multiply
    140,402.57x = 210,562.25 × 40,563.65
  4. Step 4: Simplify right side
    140,402.57x = 8,541,173,963.97
  5. Step 5: Solve for x
    x = 8,541,173,963.97/140,402.57
  6. Step 6: Final answer
    x = 60,833.46

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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.