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Finding the Fourth Proportional to 42,829, 64,200.84 and 20,636.08

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Solution

The fourth proportional to 42,829, 64,200.84 and 20,636.08 is: 30,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,829 : 64,200.84 = 20,636.08 : x
  2. Step 2: Convert to fraction form
    42,829/64,200.84 = 20,636.08/x
  3. Step 3: Cross multiply
    42,829x = 64,200.84 × 20,636.08
  4. Step 4: Simplify right side
    42,829x = 1,324,853,670.31
  5. Step 5: Solve for x
    x = 1,324,853,670.31/42,829
  6. Step 6: Final answer
    x = 30,933.57

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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.