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Finding the Fourth Proportional to 201,785.80, 302,678.70 and 149,427.40

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Solution

The fourth proportional to 201,785.80, 302,678.70 and 149,427.40 is: 224,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785.80 : 302,678.70 = 149,427.40 : x
  2. Step 2: Convert to fraction form
    201,785.80/302,678.70 = 149,427.40/x
  3. Step 3: Cross multiply
    201,785.80x = 302,678.70 × 149,427.40
  4. Step 4: Simplify right side
    201,785.80x = 45,228,491,176.38
  5. Step 5: Solve for x
    x = 45,228,491,176.38/201,785.80
  6. Step 6: Final answer
    x = 224,141.10

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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.