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Finding the Fourth Proportional to 254,470.21, 381,123.78 and 121,443.89

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Solution

The fourth proportional to 254,470.21, 381,123.78 and 121,443.89 is: 181,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,470.21 : 381,123.78 = 121,443.89 : x
  2. Step 2: Convert to fraction form
    254,470.21/381,123.78 = 121,443.89/x
  3. Step 3: Cross multiply
    254,470.21x = 381,123.78 × 121,443.89
  4. Step 4: Simplify right side
    254,470.21x = 46,285,152,053.67
  5. Step 5: Solve for x
    x = 46,285,152,053.67/254,470.21
  6. Step 6: Final answer
    x = 181,888.29

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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.