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Finding the Fourth Proportional to 84,570.56, 126,855.84 and 35,288

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Solution

The fourth proportional to 84,570.56, 126,855.84 and 35,288 is: 52,932

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,570.56 : 126,855.84 = 35,288 : x
  2. Step 2: Convert to fraction form
    84,570.56/126,855.84 = 35,288/x
  3. Step 3: Cross multiply
    84,570.56x = 126,855.84 × 35,288
  4. Step 4: Simplify right side
    84,570.56x = 4,476,488,881.92
  5. Step 5: Solve for x
    x = 4,476,488,881.92/84,570.56
  6. Step 6: Final answer
    x = 52,932

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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.