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Finding the Fourth Proportional to 166,447.50, 229,698.36 and 90,996

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Solution

The fourth proportional to 166,447.50, 229,698.36 and 90,996 is: 125,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,447.50 : 229,698.36 = 90,996 : x
  2. Step 2: Convert to fraction form
    166,447.50/229,698.36 = 90,996/x
  3. Step 3: Cross multiply
    166,447.50x = 229,698.36 × 90,996
  4. Step 4: Simplify right side
    166,447.50x = 20,901,631,966.56
  5. Step 5: Solve for x
    x = 20,901,631,966.56/166,447.50
  6. Step 6: Final answer
    x = 125,574.92

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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.