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Finding the Fourth Proportional to 99,384, 149,044.20 and 32,809.20

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Solution

The fourth proportional to 99,384, 149,044.20 and 32,809.20 is: 49,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,384 : 149,044.20 = 32,809.20 : x
  2. Step 2: Convert to fraction form
    99,384/149,044.20 = 32,809.20/x
  3. Step 3: Cross multiply
    99,384x = 149,044.20 × 32,809.20
  4. Step 4: Simplify right side
    99,384x = 4,890,020,966.64
  5. Step 5: Solve for x
    x = 4,890,020,966.64/99,384
  6. Step 6: Final answer
    x = 49,203.30

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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.