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Finding the Fourth Proportional to 103,676.86, 142,874.30 and 75,337.66

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Solution

The fourth proportional to 103,676.86, 142,874.30 and 75,337.66 is: 103,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676.86 : 142,874.30 = 75,337.66 : x
  2. Step 2: Convert to fraction form
    103,676.86/142,874.30 = 75,337.66/x
  3. Step 3: Cross multiply
    103,676.86x = 142,874.30 × 75,337.66
  4. Step 4: Simplify right side
    103,676.86x = 10,763,815,436.14
  5. Step 5: Solve for x
    x = 10,763,815,436.14/103,676.86
  6. Step 6: Final answer
    x = 103,820.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.