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Finding the Fourth Proportional to 203,218.80, 305,024.94 and 98,111.52

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Solution

The fourth proportional to 203,218.80, 305,024.94 and 98,111.52 is: 147,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218.80 : 305,024.94 = 98,111.52 : x
  2. Step 2: Convert to fraction form
    203,218.80/305,024.94 = 98,111.52/x
  3. Step 3: Cross multiply
    203,218.80x = 305,024.94 × 98,111.52
  4. Step 4: Simplify right side
    203,218.80x = 29,926,460,501.31
  5. Step 5: Solve for x
    x = 29,926,460,501.31/203,218.80
  6. Step 6: Final answer
    x = 147,262.26

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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.