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Finding the Fourth Proportional to 166,258, 229,437.26 and 90,806.50

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Solution

The fourth proportional to 166,258, 229,437.26 and 90,806.50 is: 125,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,258 : 229,437.26 = 90,806.50 : x
  2. Step 2: Convert to fraction form
    166,258/229,437.26 = 90,806.50/x
  3. Step 3: Cross multiply
    166,258x = 229,437.26 × 90,806.50
  4. Step 4: Simplify right side
    166,258x = 20,834,394,550.19
  5. Step 5: Solve for x
    x = 20,834,394,550.19/166,258
  6. Step 6: Final answer
    x = 125,313.64

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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.