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Finding the Fourth Proportional to 202,858.40, 304,222.80 and 84,501.20

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Solution

The fourth proportional to 202,858.40, 304,222.80 and 84,501.20 is: 126,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,858.40 : 304,222.80 = 84,501.20 : x
  2. Step 2: Convert to fraction form
    202,858.40/304,222.80 = 84,501.20/x
  3. Step 3: Cross multiply
    202,858.40x = 304,222.80 × 84,501.20
  4. Step 4: Simplify right side
    202,858.40x = 25,707,191,667.36
  5. Step 5: Solve for x
    x = 25,707,191,667.36/202,858.40
  6. Step 6: Final answer
    x = 126,724.81

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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.