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Finding the Fourth Proportional to 75,162.79, 103,698.90 and 42,874.20

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Solution

The fourth proportional to 75,162.79, 103,698.90 and 42,874.20 is: 59,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162.79 : 103,698.90 = 42,874.20 : x
  2. Step 2: Convert to fraction form
    75,162.79/103,698.90 = 42,874.20/x
  3. Step 3: Cross multiply
    75,162.79x = 103,698.90 × 42,874.20
  4. Step 4: Simplify right side
    75,162.79x = 4,446,007,378.38
  5. Step 5: Solve for x
    x = 4,446,007,378.38/75,162.79
  6. Step 6: Final answer
    x = 59,151.71

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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.