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Finding the Fourth Proportional to 78,163.11, 107,864.82 and 42,354

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Solution

The fourth proportional to 78,163.11, 107,864.82 and 42,354 is: 58,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.11 : 107,864.82 = 42,354 : x
  2. Step 2: Convert to fraction form
    78,163.11/107,864.82 = 42,354/x
  3. Step 3: Cross multiply
    78,163.11x = 107,864.82 × 42,354
  4. Step 4: Simplify right side
    78,163.11x = 4,568,506,586.28
  5. Step 5: Solve for x
    x = 4,568,506,586.28/78,163.11
  6. Step 6: Final answer
    x = 58,448.37

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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.