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Finding the Fourth Proportional to 166,688, 230,027.68 and 90,205.44

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Solution

The fourth proportional to 166,688, 230,027.68 and 90,205.44 is: 124,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,688 : 230,027.68 = 90,205.44 : x
  2. Step 2: Convert to fraction form
    166,688/230,027.68 = 90,205.44/x
  3. Step 3: Cross multiply
    166,688x = 230,027.68 × 90,205.44
  4. Step 4: Simplify right side
    166,688x = 20,749,748,086.58
  5. Step 5: Solve for x
    x = 20,749,748,086.58/166,688
  6. Step 6: Final answer
    x = 124,482.55

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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.