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Finding the Fourth Proportional to 139.19, 192.08 and 77.01

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Solution

The fourth proportional to 139.19, 192.08 and 77.01 is: 106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.19 : 192.08 = 77.01 : x
  2. Step 2: Convert to fraction form
    139.19/192.08 = 77.01/x
  3. Step 3: Cross multiply
    139.19x = 192.08 × 77.01
  4. Step 4: Simplify right side
    139.19x = 14,792.08
  5. Step 5: Solve for x
    x = 14,792.08/139.19
  6. Step 6: Final answer
    x = 106.28

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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.