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Finding the Fourth Proportional to 57,885.80, 86,828.70 and 26,781.80

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Solution

The fourth proportional to 57,885.80, 86,828.70 and 26,781.80 is: 40,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,885.80 : 86,828.70 = 26,781.80 : x
  2. Step 2: Convert to fraction form
    57,885.80/86,828.70 = 26,781.80/x
  3. Step 3: Cross multiply
    57,885.80x = 86,828.70 × 26,781.80
  4. Step 4: Simplify right side
    57,885.80x = 2,325,428,877.66
  5. Step 5: Solve for x
    x = 2,325,428,877.66/57,885.80
  6. Step 6: Final answer
    x = 40,172.70

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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.