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Finding the Fourth Proportional to 174,821.20, 262,231.80 and 155,138.20

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Solution

The fourth proportional to 174,821.20, 262,231.80 and 155,138.20 is: 232,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,821.20 : 262,231.80 = 155,138.20 : x
  2. Step 2: Convert to fraction form
    174,821.20/262,231.80 = 155,138.20/x
  3. Step 3: Cross multiply
    174,821.20x = 262,231.80 × 155,138.20
  4. Step 4: Simplify right side
    174,821.20x = 40,682,169,434.76
  5. Step 5: Solve for x
    x = 40,682,169,434.76/174,821.20
  6. Step 6: Final answer
    x = 232,707.30

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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.