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Finding the Fourth Proportional to 131,480, 197,121.54 and 42,680.48

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Solution

The fourth proportional to 131,480, 197,121.54 and 42,680.48 is: 63,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,480 : 197,121.54 = 42,680.48 : x
  2. Step 2: Convert to fraction form
    131,480/197,121.54 = 42,680.48/x
  3. Step 3: Cross multiply
    131,480x = 197,121.54 × 42,680.48
  4. Step 4: Simplify right side
    131,480x = 8,413,241,945.54
  5. Step 5: Solve for x
    x = 8,413,241,945.54/131,480
  6. Step 6: Final answer
    x = 63,988.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.