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Finding the Fourth Proportional to 268,665.66, 402,982.29 and 100,153.26

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Solution

The fourth proportional to 268,665.66, 402,982.29 and 100,153.26 is: 150,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,665.66 : 402,982.29 = 100,153.26 : x
  2. Step 2: Convert to fraction form
    268,665.66/402,982.29 = 100,153.26/x
  3. Step 3: Cross multiply
    268,665.66x = 402,982.29 × 100,153.26
  4. Step 4: Simplify right side
    268,665.66x = 40,359,990,065.77
  5. Step 5: Solve for x
    x = 40,359,990,065.77/268,665.66
  6. Step 6: Final answer
    x = 150,223.85

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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.