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Finding the Fourth Proportional to 101,704.32, 140,348.16 and 56,989.44

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Solution

The fourth proportional to 101,704.32, 140,348.16 and 56,989.44 is: 78,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,704.32 : 140,348.16 = 56,989.44 : x
  2. Step 2: Convert to fraction form
    101,704.32/140,348.16 = 56,989.44/x
  3. Step 3: Cross multiply
    101,704.32x = 140,348.16 × 56,989.44
  4. Step 4: Simplify right side
    101,704.32x = 7,998,363,043.43
  5. Step 5: Solve for x
    x = 7,998,363,043.43/101,704.32
  6. Step 6: Final answer
    x = 78,643.30

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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.