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Finding the Fourth Proportional to 142,891.84, 197,169.64 and 79,230.10

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Solution

The fourth proportional to 142,891.84, 197,169.64 and 79,230.10 is: 109,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,891.84 : 197,169.64 = 79,230.10 : x
  2. Step 2: Convert to fraction form
    142,891.84/197,169.64 = 79,230.10/x
  3. Step 3: Cross multiply
    142,891.84x = 197,169.64 × 79,230.10
  4. Step 4: Simplify right side
    142,891.84x = 15,621,770,294.16
  5. Step 5: Solve for x
    x = 15,621,770,294.16/142,891.84
  6. Step 6: Final answer
    x = 109,325.84

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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.