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Finding the Fourth Proportional to 43,352, 65,029.85 and 13,769.18

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Solution

The fourth proportional to 43,352, 65,029.85 and 13,769.18 is: 20,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,352 : 65,029.85 = 13,769.18 : x
  2. Step 2: Convert to fraction form
    43,352/65,029.85 = 13,769.18/x
  3. Step 3: Cross multiply
    43,352x = 65,029.85 × 13,769.18
  4. Step 4: Simplify right side
    43,352x = 895,407,710.02
  5. Step 5: Solve for x
    x = 895,407,710.02/43,352
  6. Step 6: Final answer
    x = 20,654.36

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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.