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Finding the Fourth Proportional to 146,114.60, 218,999.10 and 75,957.80

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Solution

The fourth proportional to 146,114.60, 218,999.10 and 75,957.80 is: 113,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,114.60 : 218,999.10 = 75,957.80 : x
  2. Step 2: Convert to fraction form
    146,114.60/218,999.10 = 75,957.80/x
  3. Step 3: Cross multiply
    146,114.60x = 218,999.10 × 75,957.80
  4. Step 4: Simplify right side
    146,114.60x = 16,634,689,837.98
  5. Step 5: Solve for x
    x = 16,634,689,837.98/146,114.60
  6. Step 6: Final answer
    x = 113,846.87

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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.