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Finding the Fourth Proportional to 208,849.16, 288,204.11 and 113,353.80

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Solution

The fourth proportional to 208,849.16, 288,204.11 and 113,353.80 is: 156,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,849.16 : 288,204.11 = 113,353.80 : x
  2. Step 2: Convert to fraction form
    208,849.16/288,204.11 = 113,353.80/x
  3. Step 3: Cross multiply
    208,849.16x = 288,204.11 × 113,353.80
  4. Step 4: Simplify right side
    208,849.16x = 32,669,031,327.50
  5. Step 5: Solve for x
    x = 32,669,031,327.50/208,849.16
  6. Step 6: Final answer
    x = 156,424.05

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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.