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Finding the Fourth Proportional to 166,408, 249,612 and 55,600

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Solution

The fourth proportional to 166,408, 249,612 and 55,600 is: 83,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,408 : 249,612 = 55,600 : x
  2. Step 2: Convert to fraction form
    166,408/249,612 = 55,600/x
  3. Step 3: Cross multiply
    166,408x = 249,612 × 55,600
  4. Step 4: Simplify right side
    166,408x = 13,878,427,200
  5. Step 5: Solve for x
    x = 13,878,427,200/166,408
  6. Step 6: Final answer
    x = 83,400

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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.