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Finding the Fourth Proportional to 56,678.70, 85,017.46 and 21,138.78

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Solution

The fourth proportional to 56,678.70, 85,017.46 and 21,138.78 is: 31,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,678.70 : 85,017.46 = 21,138.78 : x
  2. Step 2: Convert to fraction form
    56,678.70/85,017.46 = 21,138.78/x
  3. Step 3: Cross multiply
    56,678.70x = 85,017.46 × 21,138.78
  4. Step 4: Simplify right side
    56,678.70x = 1,797,165,383.10
  5. Step 5: Solve for x
    x = 1,797,165,383.10/56,678.70
  6. Step 6: Final answer
    x = 31,707.95

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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.