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Finding the Fourth Proportional to 200,233.12, 300,359.66 and 59,978.38

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Solution

The fourth proportional to 200,233.12, 300,359.66 and 59,978.38 is: 89,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,233.12 : 300,359.66 = 59,978.38 : x
  2. Step 2: Convert to fraction form
    200,233.12/300,359.66 = 59,978.38/x
  3. Step 3: Cross multiply
    200,233.12x = 300,359.66 × 59,978.38
  4. Step 4: Simplify right side
    200,233.12x = 18,015,085,824.15
  5. Step 5: Solve for x
    x = 18,015,085,824.15/200,233.12
  6. Step 6: Final answer
    x = 89,970.56

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1.5x scale

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.