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Finding the Fourth Proportional to 85,376.80, 128,057.52 and 29,969.44

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Solution

The fourth proportional to 85,376.80, 128,057.52 and 29,969.44 is: 44,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,376.80 : 128,057.52 = 29,969.44 : x
  2. Step 2: Convert to fraction form
    85,376.80/128,057.52 = 29,969.44/x
  3. Step 3: Cross multiply
    85,376.80x = 128,057.52 × 29,969.44
  4. Step 4: Simplify right side
    85,376.80x = 3,837,812,162.19
  5. Step 5: Solve for x
    x = 3,837,812,162.19/85,376.80
  6. Step 6: Final answer
    x = 44,951.46

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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.