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Finding the Fourth Proportional to 214,908.40, 322,362.60 and 57,152.80

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Solution

The fourth proportional to 214,908.40, 322,362.60 and 57,152.80 is: 85,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908.40 : 322,362.60 = 57,152.80 : x
  2. Step 2: Convert to fraction form
    214,908.40/322,362.60 = 57,152.80/x
  3. Step 3: Cross multiply
    214,908.40x = 322,362.60 × 57,152.80
  4. Step 4: Simplify right side
    214,908.40x = 18,423,925,205.28
  5. Step 5: Solve for x
    x = 18,423,925,205.28/214,908.40
  6. Step 6: Final answer
    x = 85,729.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.