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Finding the Fourth Proportional to 209,876.61, 314,876.45 and 67,743.82

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Solution

The fourth proportional to 209,876.61, 314,876.45 and 67,743.82 is: 101,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.61 : 314,876.45 = 67,743.82 : x
  2. Step 2: Convert to fraction form
    209,876.61/314,876.45 = 67,743.82/x
  3. Step 3: Cross multiply
    209,876.61x = 314,876.45 × 67,743.82
  4. Step 4: Simplify right side
    209,876.61x = 21,330,933,551.04
  5. Step 5: Solve for x
    x = 21,330,933,551.04/209,876.61
  6. Step 6: Final answer
    x = 101,635.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.