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Finding the Fourth Proportional to 166,465.94, 249,722.52 and 54,109.70

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Solution

The fourth proportional to 166,465.94, 249,722.52 and 54,109.70 is: 81,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,465.94 : 249,722.52 = 54,109.70 : x
  2. Step 2: Convert to fraction form
    166,465.94/249,722.52 = 54,109.70/x
  3. Step 3: Cross multiply
    166,465.94x = 249,722.52 × 54,109.70
  4. Step 4: Simplify right side
    166,465.94x = 13,512,410,640.44
  5. Step 5: Solve for x
    x = 13,512,410,640.44/166,465.94
  6. Step 6: Final answer
    x = 81,172.22

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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.