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Finding the Fourth Proportional to 98.57, 147.15 and 91.43

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Solution

The fourth proportional to 98.57, 147.15 and 91.43 is: 136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.57 : 147.15 = 91.43 : x
  2. Step 2: Convert to fraction form
    98.57/147.15 = 91.43/x
  3. Step 3: Cross multiply
    98.57x = 147.15 × 91.43
  4. Step 4: Simplify right side
    98.57x = 13,453.74
  5. Step 5: Solve for x
    x = 13,453.74/98.57
  6. Step 6: Final answer
    x = 136.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.