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Finding the Fourth Proportional to 208,984.52, 288,396.05 and 113,491.89

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Solution

The fourth proportional to 208,984.52, 288,396.05 and 113,491.89 is: 156,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984.52 : 288,396.05 = 113,491.89 : x
  2. Step 2: Convert to fraction form
    208,984.52/288,396.05 = 113,491.89/x
  3. Step 3: Cross multiply
    208,984.52x = 288,396.05 × 113,491.89
  4. Step 4: Simplify right side
    208,984.52x = 32,730,612,215.58
  5. Step 5: Solve for x
    x = 32,730,612,215.58/208,984.52
  6. Step 6: Final answer
    x = 156,617.40

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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.