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Finding the Fourth Proportional to 272,782, 409,187.52 and 85,808.08

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Solution

The fourth proportional to 272,782, 409,187.52 and 85,808.08 is: 128,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,782 : 409,187.52 = 85,808.08 : x
  2. Step 2: Convert to fraction form
    272,782/409,187.52 = 85,808.08/x
  3. Step 3: Cross multiply
    272,782x = 409,187.52 × 85,808.08
  4. Step 4: Simplify right side
    272,782x = 35,111,595,451.16
  5. Step 5: Solve for x
    x = 35,111,595,451.16/272,782
  6. Step 6: Final answer
    x = 128,716.69

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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.