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Finding the Fourth Proportional to 166,398.86, 229,627.05 and 90,947.90

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Solution

The fourth proportional to 166,398.86, 229,627.05 and 90,947.90 is: 125,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,398.86 : 229,627.05 = 90,947.90 : x
  2. Step 2: Convert to fraction form
    166,398.86/229,627.05 = 90,947.90/x
  3. Step 3: Cross multiply
    166,398.86x = 229,627.05 × 90,947.90
  4. Step 4: Simplify right side
    166,398.86x = 20,884,097,980.70
  5. Step 5: Solve for x
    x = 20,884,097,980.70/166,398.86
  6. Step 6: Final answer
    x = 125,506.26

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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.