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Finding the Fourth Proportional to 98.08, 147.70 and 81.98

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Solution

The fourth proportional to 98.08, 147.70 and 81.98 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.08 : 147.70 = 81.98 : x
  2. Step 2: Convert to fraction form
    98.08/147.70 = 81.98/x
  3. Step 3: Cross multiply
    98.08x = 147.70 × 81.98
  4. Step 4: Simplify right side
    98.08x = 12,108.45
  5. Step 5: Solve for x
    x = 12,108.45/98.08
  6. Step 6: Final answer
    x = 123.45

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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.