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Finding the Fourth Proportional to 201,711.72, 278,399.50 and 116,828.76

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Solution

The fourth proportional to 201,711.72, 278,399.50 and 116,828.76 is: 161,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,711.72 : 278,399.50 = 116,828.76 : x
  2. Step 2: Convert to fraction form
    201,711.72/278,399.50 = 116,828.76/x
  3. Step 3: Cross multiply
    201,711.72x = 278,399.50 × 116,828.76
  4. Step 4: Simplify right side
    201,711.72x = 32,525,068,369.62
  5. Step 5: Solve for x
    x = 32,525,068,369.62/201,711.72
  6. Step 6: Final answer
    x = 161,245.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.