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Finding the Fourth Proportional to 166,578.40, 249,781.20 and 61,343.20

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Solution

The fourth proportional to 166,578.40, 249,781.20 and 61,343.20 is: 91,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,578.40 : 249,781.20 = 61,343.20 : x
  2. Step 2: Convert to fraction form
    166,578.40/249,781.20 = 61,343.20/x
  3. Step 3: Cross multiply
    166,578.40x = 249,781.20 × 61,343.20
  4. Step 4: Simplify right side
    166,578.40x = 15,322,378,107.84
  5. Step 5: Solve for x
    x = 15,322,378,107.84/166,578.40
  6. Step 6: Final answer
    x = 91,982.98

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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.