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Finding the Fourth Proportional to 75,690.72, 104,451.84 and 42,156

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Solution

The fourth proportional to 75,690.72, 104,451.84 and 42,156 is: 58,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,690.72 : 104,451.84 = 42,156 : x
  2. Step 2: Convert to fraction form
    75,690.72/104,451.84 = 42,156/x
  3. Step 3: Cross multiply
    75,690.72x = 104,451.84 × 42,156
  4. Step 4: Simplify right side
    75,690.72x = 4,403,271,767.04
  5. Step 5: Solve for x
    x = 4,403,271,767.04/75,690.72
  6. Step 6: Final answer
    x = 58,174.53

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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.