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Finding the Fourth Proportional to 206,307.61, 309,477.81 and 87,979.96

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Solution

The fourth proportional to 206,307.61, 309,477.81 and 87,979.96 is: 131,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,307.61 : 309,477.81 = 87,979.96 : x
  2. Step 2: Convert to fraction form
    206,307.61/309,477.81 = 87,979.96/x
  3. Step 3: Cross multiply
    206,307.61x = 309,477.81 × 87,979.96
  4. Step 4: Simplify right side
    206,307.61x = 27,227,845,344.69
  5. Step 5: Solve for x
    x = 27,227,845,344.69/206,307.61
  6. Step 6: Final answer
    x = 131,976.93

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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.