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Finding the Fourth Proportional to 197,295.86, 272,203.80 and 120,735.20

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Solution

The fourth proportional to 197,295.86, 272,203.80 and 120,735.20 is: 166,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,295.86 : 272,203.80 = 120,735.20 : x
  2. Step 2: Convert to fraction form
    197,295.86/272,203.80 = 120,735.20/x
  3. Step 3: Cross multiply
    197,295.86x = 272,203.80 × 120,735.20
  4. Step 4: Simplify right side
    197,295.86x = 32,864,580,233.76
  5. Step 5: Solve for x
    x = 32,864,580,233.76/197,295.86
  6. Step 6: Final answer
    x = 166,575.11

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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.