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Finding the Fourth Proportional to 119,903.43, 165,465.80 and 66,188.43

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Solution

The fourth proportional to 119,903.43, 165,465.80 and 66,188.43 is: 91,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,903.43 : 165,465.80 = 66,188.43 : x
  2. Step 2: Convert to fraction form
    119,903.43/165,465.80 = 66,188.43/x
  3. Step 3: Cross multiply
    119,903.43x = 165,465.80 × 66,188.43
  4. Step 4: Simplify right side
    119,903.43x = 10,951,921,437.96
  5. Step 5: Solve for x
    x = 10,951,921,437.96/119,903.43
  6. Step 6: Final answer
    x = 91,339.51

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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.