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Finding the Fourth Proportional to 166,478, 249,741.84 and 61,288.88

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Solution

The fourth proportional to 166,478, 249,741.84 and 61,288.88 is: 91,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,478 : 249,741.84 = 61,288.88 : x
  2. Step 2: Convert to fraction form
    166,478/249,741.84 = 61,288.88/x
  3. Step 3: Cross multiply
    166,478x = 249,741.84 × 61,288.88
  4. Step 4: Simplify right side
    166,478x = 15,306,397,662.74
  5. Step 5: Solve for x
    x = 15,306,397,662.74/166,478
  6. Step 6: Final answer
    x = 91,942.46

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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.