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Finding the Fourth Proportional to 124.58, 186.70 and 47.47

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Solution

The fourth proportional to 124.58, 186.70 and 47.47 is: 71.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.58 : 186.70 = 47.47 : x
  2. Step 2: Convert to fraction form
    124.58/186.70 = 47.47/x
  3. Step 3: Cross multiply
    124.58x = 186.70 × 47.47
  4. Step 4: Simplify right side
    124.58x = 8,861.72
  5. Step 5: Solve for x
    x = 8,861.72/124.58
  6. Step 6: Final answer
    x = 71.13

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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.