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Finding the Fourth Proportional to 166,481, 249,721.74 and 67,985

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Solution

The fourth proportional to 166,481, 249,721.74 and 67,985 is: 101,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,481 : 249,721.74 = 67,985 : x
  2. Step 2: Convert to fraction form
    166,481/249,721.74 = 67,985/x
  3. Step 3: Cross multiply
    166,481x = 249,721.74 × 67,985
  4. Step 4: Simplify right side
    166,481x = 16,977,332,493.90
  5. Step 5: Solve for x
    x = 16,977,332,493.90/166,481
  6. Step 6: Final answer
    x = 101,977.60

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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.