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Finding the Fourth Proportional to 57,295.60, 85,943.40 and 17,855.88

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Solution

The fourth proportional to 57,295.60, 85,943.40 and 17,855.88 is: 26,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.60 : 85,943.40 = 17,855.88 : x
  2. Step 2: Convert to fraction form
    57,295.60/85,943.40 = 17,855.88/x
  3. Step 3: Cross multiply
    57,295.60x = 85,943.40 × 17,855.88
  4. Step 4: Simplify right side
    57,295.60x = 1,534,595,037.19
  5. Step 5: Solve for x
    x = 1,534,595,037.19/57,295.60
  6. Step 6: Final answer
    x = 26,783.82

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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.