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Finding the Fourth Proportional to 213,478.73, 320,119.65 and 63,680.16

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Solution

The fourth proportional to 213,478.73, 320,119.65 and 63,680.16 is: 95,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,478.73 : 320,119.65 = 63,680.16 : x
  2. Step 2: Convert to fraction form
    213,478.73/320,119.65 = 63,680.16/x
  3. Step 3: Cross multiply
    213,478.73x = 320,119.65 × 63,680.16
  4. Step 4: Simplify right side
    213,478.73x = 20,385,270,531.14
  5. Step 5: Solve for x
    x = 20,385,270,531.14/213,478.73
  6. Step 6: Final answer
    x = 95,490.88

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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.