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Finding the Fourth Proportional to 156,978.20, 235,462.02 and 68,231.69

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Solution

The fourth proportional to 156,978.20, 235,462.02 and 68,231.69 is: 102,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.20 : 235,462.02 = 68,231.69 : x
  2. Step 2: Convert to fraction form
    156,978.20/235,462.02 = 68,231.69/x
  3. Step 3: Cross multiply
    156,978.20x = 235,462.02 × 68,231.69
  4. Step 4: Simplify right side
    156,978.20x = 16,065,971,555.41
  5. Step 5: Solve for x
    x = 16,065,971,555.41/156,978.20
  6. Step 6: Final answer
    x = 102,345.24

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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.