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Finding the Fourth Proportional to 206,031.11, 308,983.08 and 72,880.75

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Solution

The fourth proportional to 206,031.11, 308,983.08 and 72,880.75 is: 109,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,031.11 : 308,983.08 = 72,880.75 : x
  2. Step 2: Convert to fraction form
    206,031.11/308,983.08 = 72,880.75/x
  3. Step 3: Cross multiply
    206,031.11x = 308,983.08 × 72,880.75
  4. Step 4: Simplify right side
    206,031.11x = 22,518,918,607.71
  5. Step 5: Solve for x
    x = 22,518,918,607.71/206,031.11
  6. Step 6: Final answer
    x = 109,298.63

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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.