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Finding the Fourth Proportional to 166,093.50, 229,209.03 and 90,642

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Solution

The fourth proportional to 166,093.50, 229,209.03 and 90,642 is: 125,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,093.50 : 229,209.03 = 90,642 : x
  2. Step 2: Convert to fraction form
    166,093.50/229,209.03 = 90,642/x
  3. Step 3: Cross multiply
    166,093.50x = 229,209.03 × 90,642
  4. Step 4: Simplify right side
    166,093.50x = 20,775,964,897.26
  5. Step 5: Solve for x
    x = 20,775,964,897.26/166,093.50
  6. Step 6: Final answer
    x = 125,085.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.