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Finding the Fourth Proportional to 201,614.40, 278,209.80 and 116,737.20

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Solution

The fourth proportional to 201,614.40, 278,209.80 and 116,737.20 is: 161,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614.40 : 278,209.80 = 116,737.20 : x
  2. Step 2: Convert to fraction form
    201,614.40/278,209.80 = 116,737.20/x
  3. Step 3: Cross multiply
    201,614.40x = 278,209.80 × 116,737.20
  4. Step 4: Simplify right side
    201,614.40x = 32,477,433,064.56
  5. Step 5: Solve for x
    x = 32,477,433,064.56/201,614.40
  6. Step 6: Final answer
    x = 161,086.87

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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.