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Finding the Fourth Proportional to 41,658.40, 62,390.40 and 40,823.20

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Solution

The fourth proportional to 41,658.40, 62,390.40 and 40,823.20 is: 61,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658.40 : 62,390.40 = 40,823.20 : x
  2. Step 2: Convert to fraction form
    41,658.40/62,390.40 = 40,823.20/x
  3. Step 3: Cross multiply
    41,658.40x = 62,390.40 × 40,823.20
  4. Step 4: Simplify right side
    41,658.40x = 2,546,975,777.28
  5. Step 5: Solve for x
    x = 2,546,975,777.28/41,658.40
  6. Step 6: Final answer
    x = 61,139.55

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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.