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Finding the Fourth Proportional to 208,881.56, 288,256.76 and 113,388.20

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Solution

The fourth proportional to 208,881.56, 288,256.76 and 113,388.20 is: 156,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,881.56 : 288,256.76 = 113,388.20 : x
  2. Step 2: Convert to fraction form
    208,881.56/288,256.76 = 113,388.20/x
  3. Step 3: Cross multiply
    208,881.56x = 288,256.76 × 113,388.20
  4. Step 4: Simplify right side
    208,881.56x = 32,684,915,154.23
  5. Step 5: Solve for x
    x = 32,684,915,154.23/208,881.56
  6. Step 6: Final answer
    x = 156,475.83

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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.