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Finding the Fourth Proportional to 144,612, 216,694.08 and 100,326.24

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Solution

The fourth proportional to 144,612, 216,694.08 and 100,326.24 is: 150,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,612 : 216,694.08 = 100,326.24 : x
  2. Step 2: Convert to fraction form
    144,612/216,694.08 = 100,326.24/x
  3. Step 3: Cross multiply
    144,612x = 216,694.08 × 100,326.24
  4. Step 4: Simplify right side
    144,612x = 21,740,102,276.66
  5. Step 5: Solve for x
    x = 21,740,102,276.66/144,612
  6. Step 6: Final answer
    x = 150,334.01

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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.