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Finding the Fourth Proportional to 125.56, 187.50 and 98.20

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Solution

The fourth proportional to 125.56, 187.50 and 98.20 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 187.50 = 98.20 : x
  2. Step 2: Convert to fraction form
    125.56/187.50 = 98.20/x
  3. Step 3: Cross multiply
    125.56x = 187.50 × 98.20
  4. Step 4: Simplify right side
    125.56x = 18,411.07
  5. Step 5: Solve for x
    x = 18,411.07/125.56
  6. Step 6: Final answer
    x = 146.64

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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.