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Finding the Fourth Proportional to 139.61, 192.02 and 117.74

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Solution

The fourth proportional to 139.61, 192.02 and 117.74 is: 161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.61 : 192.02 = 117.74 : x
  2. Step 2: Convert to fraction form
    139.61/192.02 = 117.74/x
  3. Step 3: Cross multiply
    139.61x = 192.02 × 117.74
  4. Step 4: Simplify right side
    139.61x = 22,606.89
  5. Step 5: Solve for x
    x = 22,606.89/139.61
  6. Step 6: Final answer
    x = 161.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.