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Finding the Fourth Proportional to 98.72, 148.09 and 46.70

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Solution

The fourth proportional to 98.72, 148.09 and 46.70 is: 70.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.72 : 148.09 = 46.70 : x
  2. Step 2: Convert to fraction form
    98.72/148.09 = 46.70/x
  3. Step 3: Cross multiply
    98.72x = 148.09 × 46.70
  4. Step 4: Simplify right side
    98.72x = 6,915.80
  5. Step 5: Solve for x
    x = 6,915.80/98.72
  6. Step 6: Final answer
    x = 70.05

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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.