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Finding the Fourth Proportional to 43,196, 64,800.84 and 15,115.38

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Solution

The fourth proportional to 43,196, 64,800.84 and 15,115.38 is: 22,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,196 : 64,800.84 = 15,115.38 : x
  2. Step 2: Convert to fraction form
    43,196/64,800.84 = 15,115.38/x
  3. Step 3: Cross multiply
    43,196x = 64,800.84 × 15,115.38
  4. Step 4: Simplify right side
    43,196x = 979,489,320.92
  5. Step 5: Solve for x
    x = 979,489,320.92/43,196
  6. Step 6: Final answer
    x = 22,675.46

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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.