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Finding the Fourth Proportional to 124.79, 186.26 and 117.10

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Solution

The fourth proportional to 124.79, 186.26 and 117.10 is: 174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.79 : 186.26 = 117.10 : x
  2. Step 2: Convert to fraction form
    124.79/186.26 = 117.10/x
  3. Step 3: Cross multiply
    124.79x = 186.26 × 117.10
  4. Step 4: Simplify right side
    124.79x = 21,810.47
  5. Step 5: Solve for x
    x = 21,810.47/124.79
  6. Step 6: Final answer
    x = 174.78

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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.