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Finding the Fourth Proportional to 268,029, 401,731.94 and 99,441.80

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Solution

The fourth proportional to 268,029, 401,731.94 and 99,441.80 is: 149,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,029 : 401,731.94 = 99,441.80 : x
  2. Step 2: Convert to fraction form
    268,029/401,731.94 = 99,441.80/x
  3. Step 3: Cross multiply
    268,029x = 401,731.94 × 99,441.80
  4. Step 4: Simplify right side
    268,029x = 39,948,944,725.22
  5. Step 5: Solve for x
    x = 39,948,944,725.22/268,029
  6. Step 6: Final answer
    x = 149,047.10

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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.