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Finding the Fourth Proportional to 142,871.76, 197,162.10 and 79,209.54

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Solution

The fourth proportional to 142,871.76, 197,162.10 and 79,209.54 is: 109,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,871.76 : 197,162.10 = 79,209.54 : x
  2. Step 2: Convert to fraction form
    142,871.76/197,162.10 = 79,209.54/x
  3. Step 3: Cross multiply
    142,871.76x = 197,162.10 × 79,209.54
  4. Step 4: Simplify right side
    142,871.76x = 15,617,119,246.43
  5. Step 5: Solve for x
    x = 15,617,119,246.43/142,871.76
  6. Step 6: Final answer
    x = 109,308.65

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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.