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Finding the Fourth Proportional to 56,702.78, 78,249.84 and 32,830.70

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Solution

The fourth proportional to 56,702.78, 78,249.84 and 32,830.70 is: 45,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702.78 : 78,249.84 = 32,830.70 : x
  2. Step 2: Convert to fraction form
    56,702.78/78,249.84 = 32,830.70/x
  3. Step 3: Cross multiply
    56,702.78x = 78,249.84 × 32,830.70
  4. Step 4: Simplify right side
    56,702.78x = 2,568,997,022.09
  5. Step 5: Solve for x
    x = 2,568,997,022.09/56,702.78
  6. Step 6: Final answer
    x = 45,306.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.