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Finding the Fourth Proportional to 124.41, 186.51 and 78.78

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Solution

The fourth proportional to 124.41, 186.51 and 78.78 is: 118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.41 : 186.51 = 78.78 : x
  2. Step 2: Convert to fraction form
    124.41/186.51 = 78.78/x
  3. Step 3: Cross multiply
    124.41x = 186.51 × 78.78
  4. Step 4: Simplify right side
    124.41x = 14,693.26
  5. Step 5: Solve for x
    x = 14,693.26/124.41
  6. Step 6: Final answer
    x = 118.10

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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.