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Finding the Fourth Proportional to 208,574.73, 287,835.12 and 113,081.67

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Solution

The fourth proportional to 208,574.73, 287,835.12 and 113,081.67 is: 156,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,574.73 : 287,835.12 = 113,081.67 : x
  2. Step 2: Convert to fraction form
    208,574.73/287,835.12 = 113,081.67/x
  3. Step 3: Cross multiply
    208,574.73x = 287,835.12 × 113,081.67
  4. Step 4: Simplify right side
    208,574.73x = 32,548,876,054.25
  5. Step 5: Solve for x
    x = 32,548,876,054.25/208,574.73
  6. Step 6: Final answer
    x = 156,053.78

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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.