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Finding the Fourth Proportional to 166,078, 229,187.64 and 99,010

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Solution

The fourth proportional to 166,078, 229,187.64 and 99,010 is: 136,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,078 : 229,187.64 = 99,010 : x
  2. Step 2: Convert to fraction form
    166,078/229,187.64 = 99,010/x
  3. Step 3: Cross multiply
    166,078x = 229,187.64 × 99,010
  4. Step 4: Simplify right side
    166,078x = 22,691,868,236.40
  5. Step 5: Solve for x
    x = 22,691,868,236.40/166,078
  6. Step 6: Final answer
    x = 136,633.80

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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.