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Finding the Fourth Proportional to 268,099.68, 402,149.30 and 68,420.10

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Solution

The fourth proportional to 268,099.68, 402,149.30 and 68,420.10 is: 102,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,099.68 : 402,149.30 = 68,420.10 : x
  2. Step 2: Convert to fraction form
    268,099.68/402,149.30 = 68,420.10/x
  3. Step 3: Cross multiply
    268,099.68x = 402,149.30 × 68,420.10
  4. Step 4: Simplify right side
    268,099.68x = 27,515,094,978.83
  5. Step 5: Solve for x
    x = 27,515,094,978.83/268,099.68
  6. Step 6: Final answer
    x = 102,630.09

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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.