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Finding the Fourth Proportional to 203,062.50, 304,700.31 and 83,208.42

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Solution

The fourth proportional to 203,062.50, 304,700.31 and 83,208.42 is: 124,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,062.50 : 304,700.31 = 83,208.42 : x
  2. Step 2: Convert to fraction form
    203,062.50/304,700.31 = 83,208.42/x
  3. Step 3: Cross multiply
    203,062.50x = 304,700.31 × 83,208.42
  4. Step 4: Simplify right side
    203,062.50x = 25,353,631,368.61
  5. Step 5: Solve for x
    x = 25,353,631,368.61/203,062.50
  6. Step 6: Final answer
    x = 124,856.29

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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.