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Finding the Fourth Proportional to 166,423, 249,634.50 and 55,615

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Solution

The fourth proportional to 166,423, 249,634.50 and 55,615 is: 83,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,423 : 249,634.50 = 55,615 : x
  2. Step 2: Convert to fraction form
    166,423/249,634.50 = 55,615/x
  3. Step 3: Cross multiply
    166,423x = 249,634.50 × 55,615
  4. Step 4: Simplify right side
    166,423x = 13,883,422,717.50
  5. Step 5: Solve for x
    x = 13,883,422,717.50/166,423
  6. Step 6: Final answer
    x = 83,422.50

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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.