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Finding the Fourth Proportional to 125.49, 188.24 and 53.40

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Solution

The fourth proportional to 125.49, 188.24 and 53.40 is: 80.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.49 : 188.24 = 53.40 : x
  2. Step 2: Convert to fraction form
    125.49/188.24 = 53.40/x
  3. Step 3: Cross multiply
    125.49x = 188.24 × 53.40
  4. Step 4: Simplify right side
    125.49x = 10,051.75
  5. Step 5: Solve for x
    x = 10,051.75/125.49
  6. Step 6: Final answer
    x = 80.10

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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.