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Finding the Fourth Proportional to 55,872, 77,105.52 and 30,720.96

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Solution

The fourth proportional to 55,872, 77,105.52 and 30,720.96 is: 42,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,872 : 77,105.52 = 30,720.96 : x
  2. Step 2: Convert to fraction form
    55,872/77,105.52 = 30,720.96/x
  3. Step 3: Cross multiply
    55,872x = 77,105.52 × 30,720.96
  4. Step 4: Simplify right side
    55,872x = 2,368,755,595.70
  5. Step 5: Solve for x
    x = 2,368,755,595.70/55,872
  6. Step 6: Final answer
    x = 42,396.11

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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.