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Finding the Fourth Proportional to 99,208, 148,656.42 and 84,355.84

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Solution

The fourth proportional to 99,208, 148,656.42 and 84,355.84 is: 126,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,208 : 148,656.42 = 84,355.84 : x
  2. Step 2: Convert to fraction form
    99,208/148,656.42 = 84,355.84/x
  3. Step 3: Cross multiply
    99,208x = 148,656.42 × 84,355.84
  4. Step 4: Simplify right side
    99,208x = 12,540,037,180.49
  5. Step 5: Solve for x
    x = 12,540,037,180.49/99,208
  6. Step 6: Final answer
    x = 126,401.47

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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.