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Finding the Fourth Proportional to 103,820.30, 155,672.85 and 41,420.30

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Solution

The fourth proportional to 103,820.30, 155,672.85 and 41,420.30 is: 62,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,820.30 : 155,672.85 = 41,420.30 : x
  2. Step 2: Convert to fraction form
    103,820.30/155,672.85 = 41,420.30/x
  3. Step 3: Cross multiply
    103,820.30x = 155,672.85 × 41,420.30
  4. Step 4: Simplify right side
    103,820.30x = 6,448,016,148.86
  5. Step 5: Solve for x
    x = 6,448,016,148.86/103,820.30
  6. Step 6: Final answer
    x = 62,107.47

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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.