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Finding the Fourth Proportional to 105.61, 157.63 and 98.10

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Solution

The fourth proportional to 105.61, 157.63 and 98.10 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.61 : 157.63 = 98.10 : x
  2. Step 2: Convert to fraction form
    105.61/157.63 = 98.10/x
  3. Step 3: Cross multiply
    105.61x = 157.63 × 98.10
  4. Step 4: Simplify right side
    105.61x = 15,463.50
  5. Step 5: Solve for x
    x = 15,463.50/105.61
  6. Step 6: Final answer
    x = 146.43

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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.