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Finding the Fourth Proportional to 87,284.72, 120,468.48 and 51,472.64

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Solution

The fourth proportional to 87,284.72, 120,468.48 and 51,472.64 is: 71,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,284.72 : 120,468.48 = 51,472.64 : x
  2. Step 2: Convert to fraction form
    87,284.72/120,468.48 = 51,472.64/x
  3. Step 3: Cross multiply
    87,284.72x = 120,468.48 × 51,472.64
  4. Step 4: Simplify right side
    87,284.72x = 6,200,830,702.39
  5. Step 5: Solve for x
    x = 6,200,830,702.39/87,284.72
  6. Step 6: Final answer
    x = 71,041.42

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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.