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Finding the Fourth Proportional to 99.84, 150.45 and 83.10

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Solution

The fourth proportional to 99.84, 150.45 and 83.10 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.84 : 150.45 = 83.10 : x
  2. Step 2: Convert to fraction form
    99.84/150.45 = 83.10/x
  3. Step 3: Cross multiply
    99.84x = 150.45 × 83.10
  4. Step 4: Simplify right side
    99.84x = 12,502.40
  5. Step 5: Solve for x
    x = 12,502.40/99.84
  6. Step 6: Final answer
    x = 125.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.