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Finding the Fourth Proportional to 92.15, 137.65 and 78.48

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Solution

The fourth proportional to 92.15, 137.65 and 78.48 is: 117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.15 : 137.65 = 78.48 : x
  2. Step 2: Convert to fraction form
    92.15/137.65 = 78.48/x
  3. Step 3: Cross multiply
    92.15x = 137.65 × 78.48
  4. Step 4: Simplify right side
    92.15x = 10,802.77
  5. Step 5: Solve for x
    x = 10,802.77/92.15
  6. Step 6: Final answer
    x = 117.23

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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.