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Finding the Fourth Proportional to 166,415.40, 249,890.40 and 154,135.80

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Solution

The fourth proportional to 166,415.40, 249,890.40 and 154,135.80 is: 231,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,415.40 : 249,890.40 = 154,135.80 : x
  2. Step 2: Convert to fraction form
    166,415.40/249,890.40 = 154,135.80/x
  3. Step 3: Cross multiply
    166,415.40x = 249,890.40 × 154,135.80
  4. Step 4: Simplify right side
    166,415.40x = 38,517,056,716.32
  5. Step 5: Solve for x
    x = 38,517,056,716.32/166,415.40
  6. Step 6: Final answer
    x = 231,451.28

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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.