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Finding the Fourth Proportional to 201,869.40, 302,463.90 and 159,587.40

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Solution

The fourth proportional to 201,869.40, 302,463.90 and 159,587.40 is: 239,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,869.40 : 302,463.90 = 159,587.40 : x
  2. Step 2: Convert to fraction form
    201,869.40/302,463.90 = 159,587.40/x
  3. Step 3: Cross multiply
    201,869.40x = 302,463.90 × 159,587.40
  4. Step 4: Simplify right side
    201,869.40x = 48,269,427,394.86
  5. Step 5: Solve for x
    x = 48,269,427,394.86/201,869.40
  6. Step 6: Final answer
    x = 239,112.16

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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.