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Finding the Fourth Proportional to 201,616.40, 278,212.56 and 116,739.20

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Solution

The fourth proportional to 201,616.40, 278,212.56 and 116,739.20 is: 161,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,616.40 : 278,212.56 = 116,739.20 : x
  2. Step 2: Convert to fraction form
    201,616.40/278,212.56 = 116,739.20/x
  3. Step 3: Cross multiply
    201,616.40x = 278,212.56 × 116,739.20
  4. Step 4: Simplify right side
    201,616.40x = 32,478,311,684.35
  5. Step 5: Solve for x
    x = 32,478,311,684.35/201,616.40
  6. Step 6: Final answer
    x = 161,089.63

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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.