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Finding the Fourth Proportional to 206,158.74, 309,307.31 and 111,397.40

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Solution

The fourth proportional to 206,158.74, 309,307.31 and 111,397.40 is: 167,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,158.74 : 309,307.31 = 111,397.40 : x
  2. Step 2: Convert to fraction form
    206,158.74/309,307.31 = 111,397.40/x
  3. Step 3: Cross multiply
    206,158.74x = 309,307.31 × 111,397.40
  4. Step 4: Simplify right side
    206,158.74x = 34,456,028,031.47
  5. Step 5: Solve for x
    x = 34,456,028,031.47/206,158.74
  6. Step 6: Final answer
    x = 167,133.48

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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.