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Finding the Fourth Proportional to 206,398.80, 309,301.74 and 88,038.36

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Solution

The fourth proportional to 206,398.80, 309,301.74 and 88,038.36 is: 131,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,398.80 : 309,301.74 = 88,038.36 : x
  2. Step 2: Convert to fraction form
    206,398.80/309,301.74 = 88,038.36/x
  3. Step 3: Cross multiply
    206,398.80x = 309,301.74 × 88,038.36
  4. Step 4: Simplify right side
    206,398.80x = 27,230,417,934.75
  5. Step 5: Solve for x
    x = 27,230,417,934.75/206,398.80
  6. Step 6: Final answer
    x = 131,931.09

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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.