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Finding the Fourth Proportional to 202,856.40, 304,219.80 and 84,499.20

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Solution

The fourth proportional to 202,856.40, 304,219.80 and 84,499.20 is: 126,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,856.40 : 304,219.80 = 84,499.20 : x
  2. Step 2: Convert to fraction form
    202,856.40/304,219.80 = 84,499.20/x
  3. Step 3: Cross multiply
    202,856.40x = 304,219.80 × 84,499.20
  4. Step 4: Simplify right side
    202,856.40x = 25,706,329,724.16
  5. Step 5: Solve for x
    x = 25,706,329,724.16/202,856.40
  6. Step 6: Final answer
    x = 126,721.81

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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.