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Finding the Fourth Proportional to 88,714, 122,425.40 and 48,970

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Solution

The fourth proportional to 88,714, 122,425.40 and 48,970 is: 67,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,714 : 122,425.40 = 48,970 : x
  2. Step 2: Convert to fraction form
    88,714/122,425.40 = 48,970/x
  3. Step 3: Cross multiply
    88,714x = 122,425.40 × 48,970
  4. Step 4: Simplify right side
    88,714x = 5,995,171,838
  5. Step 5: Solve for x
    x = 5,995,171,838/88,714
  6. Step 6: Final answer
    x = 67,578.64

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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.