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Finding the Fourth Proportional to 166,083, 249,122.16 and 77,286.84

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Solution

The fourth proportional to 166,083, 249,122.16 and 77,286.84 is: 115,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,083 : 249,122.16 = 77,286.84 : x
  2. Step 2: Convert to fraction form
    166,083/249,122.16 = 77,286.84/x
  3. Step 3: Cross multiply
    166,083x = 249,122.16 × 77,286.84
  4. Step 4: Simplify right side
    166,083x = 19,253,864,520.37
  5. Step 5: Solve for x
    x = 19,253,864,520.37/166,083
  6. Step 6: Final answer
    x = 115,929.17

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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.