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Finding the Fourth Proportional to 166,419.40, 249,896.40 and 154,139.80

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Solution

The fourth proportional to 166,419.40, 249,896.40 and 154,139.80 is: 231,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,419.40 : 249,896.40 = 154,139.80 : x
  2. Step 2: Convert to fraction form
    166,419.40/249,896.40 = 154,139.80/x
  3. Step 3: Cross multiply
    166,419.40x = 249,896.40 × 154,139.80
  4. Step 4: Simplify right side
    166,419.40x = 38,518,981,116.72
  5. Step 5: Solve for x
    x = 38,518,981,116.72/166,419.40
  6. Step 6: Final answer
    x = 231,457.28

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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.