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Finding the Fourth Proportional to 218,064.60, 326,878.20 and 99,820.80

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Solution

The fourth proportional to 218,064.60, 326,878.20 and 99,820.80 is: 149,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,064.60 : 326,878.20 = 99,820.80 : x
  2. Step 2: Convert to fraction form
    218,064.60/326,878.20 = 99,820.80/x
  3. Step 3: Cross multiply
    218,064.60x = 326,878.20 × 99,820.80
  4. Step 4: Simplify right side
    218,064.60x = 32,629,243,426.56
  5. Step 5: Solve for x
    x = 32,629,243,426.56/218,064.60
  6. Step 6: Final answer
    x = 149,631.09

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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.