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Finding the Fourth Proportional to 140.02, 192.90 and 98.50

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Solution

The fourth proportional to 140.02, 192.90 and 98.50 is: 135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.02 : 192.90 = 98.50 : x
  2. Step 2: Convert to fraction form
    140.02/192.90 = 98.50/x
  3. Step 3: Cross multiply
    140.02x = 192.90 × 98.50
  4. Step 4: Simplify right side
    140.02x = 19,000.65
  5. Step 5: Solve for x
    x = 19,000.65/140.02
  6. Step 6: Final answer
    x = 135.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.