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Finding the Fourth Proportional to 273,116.64, 409,674.96 and 86,142.72

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Solution

The fourth proportional to 273,116.64, 409,674.96 and 86,142.72 is: 129,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,116.64 : 409,674.96 = 86,142.72 : x
  2. Step 2: Convert to fraction form
    273,116.64/409,674.96 = 86,142.72/x
  3. Step 3: Cross multiply
    273,116.64x = 409,674.96 × 86,142.72
  4. Step 4: Simplify right side
    273,116.64x = 35,290,515,370.29
  5. Step 5: Solve for x
    x = 35,290,515,370.29/273,116.64
  6. Step 6: Final answer
    x = 129,214.08

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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.