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Finding the Fourth Proportional to 166,814, 230,203.32 and 91,365.20

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Solution

The fourth proportional to 166,814, 230,203.32 and 91,365.20 is: 126,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,814 : 230,203.32 = 91,365.20 : x
  2. Step 2: Convert to fraction form
    166,814/230,203.32 = 91,365.20/x
  3. Step 3: Cross multiply
    166,814x = 230,203.32 × 91,365.20
  4. Step 4: Simplify right side
    166,814x = 21,032,572,372.46
  5. Step 5: Solve for x
    x = 21,032,572,372.46/166,814
  6. Step 6: Final answer
    x = 126,083.98

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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.