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Finding the Fourth Proportional to 166,258.50, 229,437.95 and 90,807

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Solution

The fourth proportional to 166,258.50, 229,437.95 and 90,807 is: 125,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,258.50 : 229,437.95 = 90,807 : x
  2. Step 2: Convert to fraction form
    166,258.50/229,437.95 = 90,807/x
  3. Step 3: Cross multiply
    166,258.50x = 229,437.95 × 90,807
  4. Step 4: Simplify right side
    166,258.50x = 20,834,571,471.62
  5. Step 5: Solve for x
    x = 20,834,571,471.62/166,258.50
  6. Step 6: Final answer
    x = 125,314.32

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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.