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Finding the Fourth Proportional to 166,589.60, 249,921.16 and 77,794.36

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Solution

The fourth proportional to 166,589.60, 249,921.16 and 77,794.36 is: 116,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,589.60 : 249,921.16 = 77,794.36 : x
  2. Step 2: Convert to fraction form
    166,589.60/249,921.16 = 77,794.36/x
  3. Step 3: Cross multiply
    166,589.60x = 249,921.16 × 77,794.36
  4. Step 4: Simplify right side
    166,589.60x = 19,442,456,692.66
  5. Step 5: Solve for x
    x = 19,442,456,692.66/166,589.60
  6. Step 6: Final answer
    x = 116,708.71

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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.