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Finding the Fourth Proportional to 208,730.56, 288,046.56 and 113,236.96

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Solution

The fourth proportional to 208,730.56, 288,046.56 and 113,236.96 is: 156,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,730.56 : 288,046.56 = 113,236.96 : x
  2. Step 2: Convert to fraction form
    208,730.56/288,046.56 = 113,236.96/x
  3. Step 3: Cross multiply
    208,730.56x = 288,046.56 × 113,236.96
  4. Step 4: Simplify right side
    208,730.56x = 32,617,516,792.86
  5. Step 5: Solve for x
    x = 32,617,516,792.86/208,730.56
  6. Step 6: Final answer
    x = 156,266.13

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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.