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Finding the Fourth Proportional to 57,297.60, 85,946.40 and 17,857.88

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Solution

The fourth proportional to 57,297.60, 85,946.40 and 17,857.88 is: 26,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,297.60 : 85,946.40 = 17,857.88 : x
  2. Step 2: Convert to fraction form
    57,297.60/85,946.40 = 17,857.88/x
  3. Step 3: Cross multiply
    57,297.60x = 85,946.40 × 17,857.88
  4. Step 4: Simplify right side
    57,297.60x = 1,534,820,497.63
  5. Step 5: Solve for x
    x = 1,534,820,497.63/57,297.60
  6. Step 6: Final answer
    x = 26,786.82

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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.