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Finding the Fourth Proportional to 166,478, 249,717.24 and 67,982

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Solution

The fourth proportional to 166,478, 249,717.24 and 67,982 is: 101,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,478 : 249,717.24 = 67,982 : x
  2. Step 2: Convert to fraction form
    166,478/249,717.24 = 67,982/x
  3. Step 3: Cross multiply
    166,478x = 249,717.24 × 67,982
  4. Step 4: Simplify right side
    166,478x = 16,976,277,409.68
  5. Step 5: Solve for x
    x = 16,976,277,409.68/166,478
  6. Step 6: Final answer
    x = 101,973.10

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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.