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Finding the Fourth Proportional to 128,051.20, 192,019.20 and 49,139.20

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Solution

The fourth proportional to 128,051.20, 192,019.20 and 49,139.20 is: 73,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,051.20 : 192,019.20 = 49,139.20 : x
  2. Step 2: Convert to fraction form
    128,051.20/192,019.20 = 49,139.20/x
  3. Step 3: Cross multiply
    128,051.20x = 192,019.20 × 49,139.20
  4. Step 4: Simplify right side
    128,051.20x = 9,435,669,872.64
  5. Step 5: Solve for x
    x = 9,435,669,872.64/128,051.20
  6. Step 6: Final answer
    x = 73,686.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.