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Finding the Fourth Proportional to 119,703.78, 165,191.18 and 65,989.71

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Solution

The fourth proportional to 119,703.78, 165,191.18 and 65,989.71 is: 91,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,703.78 : 165,191.18 = 65,989.71 : x
  2. Step 2: Convert to fraction form
    119,703.78/165,191.18 = 65,989.71/x
  3. Step 3: Cross multiply
    119,703.78x = 165,191.18 × 65,989.71
  4. Step 4: Simplify right side
    119,703.78x = 10,900,917,732.81
  5. Step 5: Solve for x
    x = 10,900,917,732.81/119,703.78
  6. Step 6: Final answer
    x = 91,065.78

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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.