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Finding the Fourth Proportional to 43,099.68, 64,649.70 and 11,932.68

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Solution

The fourth proportional to 43,099.68, 64,649.70 and 11,932.68 is: 17,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,099.68 : 64,649.70 = 11,932.68 : x
  2. Step 2: Convert to fraction form
    43,099.68/64,649.70 = 11,932.68/x
  3. Step 3: Cross multiply
    43,099.68x = 64,649.70 × 11,932.68
  4. Step 4: Simplify right side
    43,099.68x = 771,444,182.20
  5. Step 5: Solve for x
    x = 771,444,182.20/43,099.68
  6. Step 6: Final answer
    x = 17,899.07

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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.