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Finding the Fourth Proportional to 201,478.60, 302,217.90 and 121,299.40

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Solution

The fourth proportional to 201,478.60, 302,217.90 and 121,299.40 is: 181,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,478.60 : 302,217.90 = 121,299.40 : x
  2. Step 2: Convert to fraction form
    201,478.60/302,217.90 = 121,299.40/x
  3. Step 3: Cross multiply
    201,478.60x = 302,217.90 × 121,299.40
  4. Step 4: Simplify right side
    201,478.60x = 36,658,849,939.26
  5. Step 5: Solve for x
    x = 36,658,849,939.26/201,478.60
  6. Step 6: Final answer
    x = 181,949.10

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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.