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Finding the Fourth Proportional to 166,115.40, 249,164.40 and 47,782.11

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Solution

The fourth proportional to 166,115.40, 249,164.40 and 47,782.11 is: 71,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,115.40 : 249,164.40 = 47,782.11 : x
  2. Step 2: Convert to fraction form
    166,115.40/249,164.40 = 47,782.11/x
  3. Step 3: Cross multiply
    166,115.40x = 249,164.40 × 47,782.11
  4. Step 4: Simplify right side
    166,115.40x = 11,905,600,768.88
  5. Step 5: Solve for x
    x = 11,905,600,768.88/166,115.40
  6. Step 6: Final answer
    x = 71,670.66

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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.