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Finding the Fourth Proportional to 206,488.16, 284,919.12 and 121,622.12

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Solution

The fourth proportional to 206,488.16, 284,919.12 and 121,622.12 is: 167,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,488.16 : 284,919.12 = 121,622.12 : x
  2. Step 2: Convert to fraction form
    206,488.16/284,919.12 = 121,622.12/x
  3. Step 3: Cross multiply
    206,488.16x = 284,919.12 × 121,622.12
  4. Step 4: Simplify right side
    206,488.16x = 34,652,467,402.93
  5. Step 5: Solve for x
    x = 34,652,467,402.93/206,488.16
  6. Step 6: Final answer
    x = 167,818.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.