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Finding the Fourth Proportional to 202,111.20, 302,583.60 and 178,783.20

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Solution

The fourth proportional to 202,111.20, 302,583.60 and 178,783.20 is: 267,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,111.20 : 302,583.60 = 178,783.20 : x
  2. Step 2: Convert to fraction form
    202,111.20/302,583.60 = 178,783.20/x
  3. Step 3: Cross multiply
    202,111.20x = 302,583.60 × 178,783.20
  4. Step 4: Simplify right side
    202,111.20x = 54,096,864,275.52
  5. Step 5: Solve for x
    x = 54,096,864,275.52/202,111.20
  6. Step 6: Final answer
    x = 267,658.91

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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.