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Finding the Fourth Proportional to 52,057.96, 78,101.52 and 20,915.08

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Solution

The fourth proportional to 52,057.96, 78,101.52 and 20,915.08 is: 31,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.96 : 78,101.52 = 20,915.08 : x
  2. Step 2: Convert to fraction form
    52,057.96/78,101.52 = 20,915.08/x
  3. Step 3: Cross multiply
    52,057.96x = 78,101.52 × 20,915.08
  4. Step 4: Simplify right side
    52,057.96x = 1,633,499,538.92
  5. Step 5: Solve for x
    x = 1,633,499,538.92/52,057.96
  6. Step 6: Final answer
    x = 31,378.48

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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.