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Finding the Fourth Proportional to 154,933.20, 232,054.20 and 127,285.20

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Solution

The fourth proportional to 154,933.20, 232,054.20 and 127,285.20 is: 190,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,933.20 : 232,054.20 = 127,285.20 : x
  2. Step 2: Convert to fraction form
    154,933.20/232,054.20 = 127,285.20/x
  3. Step 3: Cross multiply
    154,933.20x = 232,054.20 × 127,285.20
  4. Step 4: Simplify right side
    154,933.20x = 29,537,065,257.84
  5. Step 5: Solve for x
    x = 29,537,065,257.84/154,933.20
  6. Step 6: Final answer
    x = 190,643.87

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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.