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Finding the Fourth Proportional to 119,810, 165,337.80 and 66,818

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Solution

The fourth proportional to 119,810, 165,337.80 and 66,818 is: 92,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,810 : 165,337.80 = 66,818 : x
  2. Step 2: Convert to fraction form
    119,810/165,337.80 = 66,818/x
  3. Step 3: Cross multiply
    119,810x = 165,337.80 × 66,818
  4. Step 4: Simplify right side
    119,810x = 11,047,541,120.40
  5. Step 5: Solve for x
    x = 11,047,541,120.40/119,810
  6. Step 6: Final answer
    x = 92,208.84

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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.