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Finding the Fourth Proportional to 98.93, 148.83 and 83.57

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Solution

The fourth proportional to 98.93, 148.83 and 83.57 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.93 : 148.83 = 83.57 : x
  2. Step 2: Convert to fraction form
    98.93/148.83 = 83.57/x
  3. Step 3: Cross multiply
    98.93x = 148.83 × 83.57
  4. Step 4: Simplify right side
    98.93x = 12,437.72
  5. Step 5: Solve for x
    x = 12,437.72/98.93
  6. Step 6: Final answer
    x = 125.72

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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.