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Finding the Fourth Proportional to 125.06, 187.66 and 56.66

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Solution

The fourth proportional to 125.06, 187.66 and 56.66 is: 85.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.06 : 187.66 = 56.66 : x
  2. Step 2: Convert to fraction form
    125.06/187.66 = 56.66/x
  3. Step 3: Cross multiply
    125.06x = 187.66 × 56.66
  4. Step 4: Simplify right side
    125.06x = 10,632.82
  5. Step 5: Solve for x
    x = 10,632.82/125.06
  6. Step 6: Final answer
    x = 85.02

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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.