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Finding the Fourth Proportional to 209,911.82, 314,886.64 and 67,760.48

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Solution

The fourth proportional to 209,911.82, 314,886.64 and 67,760.48 is: 101,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,911.82 : 314,886.64 = 67,760.48 : x
  2. Step 2: Convert to fraction form
    209,911.82/314,886.64 = 67,760.48/x
  3. Step 3: Cross multiply
    209,911.82x = 314,886.64 × 67,760.48
  4. Step 4: Simplify right side
    209,911.82x = 21,336,869,871.99
  5. Step 5: Solve for x
    x = 21,336,869,871.99/209,911.82
  6. Step 6: Final answer
    x = 101,646.82

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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.