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Finding the Fourth Proportional to 201,447.70, 302,171.55 and 131,406.10

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Solution

The fourth proportional to 201,447.70, 302,171.55 and 131,406.10 is: 197,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,447.70 : 302,171.55 = 131,406.10 : x
  2. Step 2: Convert to fraction form
    201,447.70/302,171.55 = 131,406.10/x
  3. Step 3: Cross multiply
    201,447.70x = 302,171.55 × 131,406.10
  4. Step 4: Simplify right side
    201,447.70x = 39,707,184,916.46
  5. Step 5: Solve for x
    x = 39,707,184,916.46/201,447.70
  6. Step 6: Final answer
    x = 197,109.15

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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.