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Finding the Fourth Proportional to 166,356.72, 249,712.67 and 71,633.80

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Solution

The fourth proportional to 166,356.72, 249,712.67 and 71,633.80 is: 107,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356.72 : 249,712.67 = 71,633.80 : x
  2. Step 2: Convert to fraction form
    166,356.72/249,712.67 = 71,633.80/x
  3. Step 3: Cross multiply
    166,356.72x = 249,712.67 × 71,633.80
  4. Step 4: Simplify right side
    166,356.72x = 17,887,867,460.25
  5. Step 5: Solve for x
    x = 17,887,867,460.25/166,356.72
  6. Step 6: Final answer
    x = 107,527.17

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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.