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Finding the Fourth Proportional to 166,394.52, 249,740.01 and 77,697.09

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Solution

The fourth proportional to 166,394.52, 249,740.01 and 77,697.09 is: 116,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,394.52 : 249,740.01 = 77,697.09 : x
  2. Step 2: Convert to fraction form
    166,394.52/249,740.01 = 77,697.09/x
  3. Step 3: Cross multiply
    166,394.52x = 249,740.01 × 77,697.09
  4. Step 4: Simplify right side
    166,394.52x = 19,404,072,033.57
  5. Step 5: Solve for x
    x = 19,404,072,033.57/166,394.52
  6. Step 6: Final answer
    x = 116,614.85

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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.