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Finding the Fourth Proportional to 85,382.70, 128,073.84 and 23,053.20

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Solution

The fourth proportional to 85,382.70, 128,073.84 and 23,053.20 is: 34,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382.70 : 128,073.84 = 23,053.20 : x
  2. Step 2: Convert to fraction form
    85,382.70/128,073.84 = 23,053.20/x
  3. Step 3: Cross multiply
    85,382.70x = 128,073.84 × 23,053.20
  4. Step 4: Simplify right side
    85,382.70x = 2,952,511,848.29
  5. Step 5: Solve for x
    x = 2,952,511,848.29/85,382.70
  6. Step 6: Final answer
    x = 34,579.74

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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.