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Finding the Fourth Proportional to 166,474.27, 249,748.40 and 77,679.34

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Solution

The fourth proportional to 166,474.27, 249,748.40 and 77,679.34 is: 116,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,474.27 : 249,748.40 = 77,679.34 : x
  2. Step 2: Convert to fraction form
    166,474.27/249,748.40 = 77,679.34/x
  3. Step 3: Cross multiply
    166,474.27x = 249,748.40 × 77,679.34
  4. Step 4: Simplify right side
    166,474.27x = 19,400,290,489.66
  5. Step 5: Solve for x
    x = 19,400,290,489.66/166,474.27
  6. Step 6: Final answer
    x = 116,536.27

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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.