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Finding the Fourth Proportional to 208,849.85, 288,213.12 and 113,356.59

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Solution

The fourth proportional to 208,849.85, 288,213.12 and 113,356.59 is: 156,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,849.85 : 288,213.12 = 113,356.59 : x
  2. Step 2: Convert to fraction form
    208,849.85/288,213.12 = 113,356.59/x
  3. Step 3: Cross multiply
    208,849.85x = 288,213.12 × 113,356.59
  4. Step 4: Simplify right side
    208,849.85x = 32,670,855,395.66
  5. Step 5: Solve for x
    x = 32,670,855,395.66/208,849.85
  6. Step 6: Final answer
    x = 156,432.27

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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.