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Finding the Fourth Proportional to 166,142, 249,316.68 and 67,646

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Solution

The fourth proportional to 166,142, 249,316.68 and 67,646 is: 101,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,142 : 249,316.68 = 67,646 : x
  2. Step 2: Convert to fraction form
    166,142/249,316.68 = 67,646/x
  3. Step 3: Cross multiply
    166,142x = 249,316.68 × 67,646
  4. Step 4: Simplify right side
    166,142x = 16,865,276,135.28
  5. Step 5: Solve for x
    x = 16,865,276,135.28/166,142
  6. Step 6: Final answer
    x = 101,511.21

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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.