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Finding the Fourth Proportional to 119,902, 165,464.76 and 66,910

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Solution

The fourth proportional to 119,902, 165,464.76 and 66,910 is: 92,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,902 : 165,464.76 = 66,910 : x
  2. Step 2: Convert to fraction form
    119,902/165,464.76 = 66,910/x
  3. Step 3: Cross multiply
    119,902x = 165,464.76 × 66,910
  4. Step 4: Simplify right side
    119,902x = 11,071,247,091.60
  5. Step 5: Solve for x
    x = 11,071,247,091.60/119,902
  6. Step 6: Final answer
    x = 92,335.80

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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.