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Finding the Fourth Proportional to 76,998, 115,543.08 and 33,222

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Solution

The fourth proportional to 76,998, 115,543.08 and 33,222 is: 49,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,998 : 115,543.08 = 33,222 : x
  2. Step 2: Convert to fraction form
    76,998/115,543.08 = 33,222/x
  3. Step 3: Cross multiply
    76,998x = 115,543.08 × 33,222
  4. Step 4: Simplify right side
    76,998x = 3,838,572,203.76
  5. Step 5: Solve for x
    x = 3,838,572,203.76/76,998
  6. Step 6: Final answer
    x = 49,852.88

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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.