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Finding the Fourth Proportional to 139.32, 192.25 and 77.15

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Solution

The fourth proportional to 139.32, 192.25 and 77.15 is: 106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 192.25 = 77.15 : x
  2. Step 2: Convert to fraction form
    139.32/192.25 = 77.15/x
  3. Step 3: Cross multiply
    139.32x = 192.25 × 77.15
  4. Step 4: Simplify right side
    139.32x = 14,831.13
  5. Step 5: Solve for x
    x = 14,831.13/139.32
  6. Step 6: Final answer
    x = 106.46

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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.