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Finding the Fourth Proportional to 254,443.20, 381,664.80 and 96,663.30

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Solution

The fourth proportional to 254,443.20, 381,664.80 and 96,663.30 is: 144,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,443.20 : 381,664.80 = 96,663.30 : x
  2. Step 2: Convert to fraction form
    254,443.20/381,664.80 = 96,663.30/x
  3. Step 3: Cross multiply
    254,443.20x = 381,664.80 × 96,663.30
  4. Step 4: Simplify right side
    254,443.20x = 36,892,979,061.84
  5. Step 5: Solve for x
    x = 36,892,979,061.84/254,443.20
  6. Step 6: Final answer
    x = 144,994.95

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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.