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Finding the Fourth Proportional to 57,641.40, 86,467.86 and 17,659.92

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Solution

The fourth proportional to 57,641.40, 86,467.86 and 17,659.92 is: 26,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641.40 : 86,467.86 = 17,659.92 : x
  2. Step 2: Convert to fraction form
    57,641.40/86,467.86 = 17,659.92/x
  3. Step 3: Cross multiply
    57,641.40x = 86,467.86 × 17,659.92
  4. Step 4: Simplify right side
    57,641.40x = 1,527,015,490.17
  5. Step 5: Solve for x
    x = 1,527,015,490.17/57,641.40
  6. Step 6: Final answer
    x = 26,491.64

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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.