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Finding the Fourth Proportional to 197,417.76, 272,373.96 and 120,856.80

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Solution

The fourth proportional to 197,417.76, 272,373.96 and 120,856.80 is: 166,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,417.76 : 272,373.96 = 120,856.80 : x
  2. Step 2: Convert to fraction form
    197,417.76/272,373.96 = 120,856.80/x
  3. Step 3: Cross multiply
    197,417.76x = 272,373.96 × 120,856.80
  4. Step 4: Simplify right side
    197,417.76x = 32,918,245,208.93
  5. Step 5: Solve for x
    x = 32,918,245,208.93/197,417.76
  6. Step 6: Final answer
    x = 166,744.09

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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.