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Finding the Fourth Proportional to 166,140, 249,313.68 and 67,644

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Solution

The fourth proportional to 166,140, 249,313.68 and 67,644 is: 101,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,140 : 249,313.68 = 67,644 : x
  2. Step 2: Convert to fraction form
    166,140/249,313.68 = 67,644/x
  3. Step 3: Cross multiply
    166,140x = 249,313.68 × 67,644
  4. Step 4: Simplify right side
    166,140x = 16,864,574,569.92
  5. Step 5: Solve for x
    x = 16,864,574,569.92/166,140
  6. Step 6: Final answer
    x = 101,508.21

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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.