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Finding the Fourth Proportional to 218,037.60, 327,056.40 and 138,916.80

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Solution

The fourth proportional to 218,037.60, 327,056.40 and 138,916.80 is: 208,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,037.60 : 327,056.40 = 138,916.80 : x
  2. Step 2: Convert to fraction form
    218,037.60/327,056.40 = 138,916.80/x
  3. Step 3: Cross multiply
    218,037.60x = 327,056.40 × 138,916.80
  4. Step 4: Simplify right side
    218,037.60x = 45,433,628,507.52
  5. Step 5: Solve for x
    x = 45,433,628,507.52/218,037.60
  6. Step 6: Final answer
    x = 208,375.20

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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.