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Finding the Fourth Proportional to 203,488.80, 305,342.55 and 85,172.10

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Solution

The fourth proportional to 203,488.80, 305,342.55 and 85,172.10 is: 127,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.80 : 305,342.55 = 85,172.10 : x
  2. Step 2: Convert to fraction form
    203,488.80/305,342.55 = 85,172.10/x
  3. Step 3: Cross multiply
    203,488.80x = 305,342.55 × 85,172.10
  4. Step 4: Simplify right side
    203,488.80x = 26,006,666,202.86
  5. Step 5: Solve for x
    x = 26,006,666,202.86/203,488.80
  6. Step 6: Final answer
    x = 127,803.92

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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.