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Finding the Fourth Proportional to 140,850, 211,356.54 and 52,165.80

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Solution

The fourth proportional to 140,850, 211,356.54 and 52,165.80 is: 78,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,850 : 211,356.54 = 52,165.80 : x
  2. Step 2: Convert to fraction form
    140,850/211,356.54 = 52,165.80/x
  3. Step 3: Cross multiply
    140,850x = 211,356.54 × 52,165.80
  4. Step 4: Simplify right side
    140,850x = 11,025,582,994.33
  5. Step 5: Solve for x
    x = 11,025,582,994.33/140,850
  6. Step 6: Final answer
    x = 78,278.90

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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.