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Finding the Fourth Proportional to 136,283.82, 188,069.78 and 75,854.48

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Solution

The fourth proportional to 136,283.82, 188,069.78 and 75,854.48 is: 104,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,283.82 : 188,069.78 = 75,854.48 : x
  2. Step 2: Convert to fraction form
    136,283.82/188,069.78 = 75,854.48/x
  3. Step 3: Cross multiply
    136,283.82x = 188,069.78 × 75,854.48
  4. Step 4: Simplify right side
    136,283.82x = 14,265,935,365.61
  5. Step 5: Solve for x
    x = 14,265,935,365.61/136,283.82
  6. Step 6: Final answer
    x = 104,678.13

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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.