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Finding the Fourth Proportional to 206,511.12, 308,984.16 and 122,316.48

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Solution

The fourth proportional to 206,511.12, 308,984.16 and 122,316.48 is: 183,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,511.12 : 308,984.16 = 122,316.48 : x
  2. Step 2: Convert to fraction form
    206,511.12/308,984.16 = 122,316.48/x
  3. Step 3: Cross multiply
    206,511.12x = 308,984.16 × 122,316.48
  4. Step 4: Simplify right side
    206,511.12x = 37,793,854,826.96
  5. Step 5: Solve for x
    x = 37,793,854,826.96/206,511.12
  6. Step 6: Final answer
    x = 183,011.23

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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.