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Finding the Fourth Proportional to 150,165.97, 225,011.84 and 121,948.72

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Solution

The fourth proportional to 150,165.97, 225,011.84 and 121,948.72 is: 182,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,165.97 : 225,011.84 = 121,948.72 : x
  2. Step 2: Convert to fraction form
    150,165.97/225,011.84 = 121,948.72/x
  3. Step 3: Cross multiply
    150,165.97x = 225,011.84 × 121,948.72
  4. Step 4: Simplify right side
    150,165.97x = 27,439,905,872.84
  5. Step 5: Solve for x
    x = 27,439,905,872.84/150,165.97
  6. Step 6: Final answer
    x = 182,730.52

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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.