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Finding the Fourth Proportional to 203,019.76, 304,549.92 and 69,882.40

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Solution

The fourth proportional to 203,019.76, 304,549.92 and 69,882.40 is: 104,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,019.76 : 304,549.92 = 69,882.40 : x
  2. Step 2: Convert to fraction form
    203,019.76/304,549.92 = 69,882.40/x
  3. Step 3: Cross multiply
    203,019.76x = 304,549.92 × 69,882.40
  4. Step 4: Simplify right side
    203,019.76x = 21,282,679,329.41
  5. Step 5: Solve for x
    x = 21,282,679,329.41/203,019.76
  6. Step 6: Final answer
    x = 104,830.58

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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.