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Finding the Fourth Proportional to 272,779.63, 409,169.48 and 83,241

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Solution

The fourth proportional to 272,779.63, 409,169.48 and 83,241 is: 124,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,779.63 : 409,169.48 = 83,241 : x
  2. Step 2: Convert to fraction form
    272,779.63/409,169.48 = 83,241/x
  3. Step 3: Cross multiply
    272,779.63x = 409,169.48 × 83,241
  4. Step 4: Simplify right side
    272,779.63x = 34,059,676,268.48
  5. Step 5: Solve for x
    x = 34,059,676,268.48/272,779.63
  6. Step 6: Final answer
    x = 124,861.51

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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.