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Finding the Fourth Proportional to 144,211.96, 199,011.34 and 79,681

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Solution

The fourth proportional to 144,211.96, 199,011.34 and 79,681 is: 109,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,211.96 : 199,011.34 = 79,681 : x
  2. Step 2: Convert to fraction form
    144,211.96/199,011.34 = 79,681/x
  3. Step 3: Cross multiply
    144,211.96x = 199,011.34 × 79,681
  4. Step 4: Simplify right side
    144,211.96x = 15,857,422,582.54
  5. Step 5: Solve for x
    x = 15,857,422,582.54/144,211.96
  6. Step 6: Final answer
    x = 109,959.14

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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.