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Finding the Fourth Proportional to 120,063.81, 165,688.57 and 65,617.09

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Solution

The fourth proportional to 120,063.81, 165,688.57 and 65,617.09 is: 90,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,063.81 : 165,688.57 = 65,617.09 : x
  2. Step 2: Convert to fraction form
    120,063.81/165,688.57 = 65,617.09/x
  3. Step 3: Cross multiply
    120,063.81x = 165,688.57 × 65,617.09
  4. Step 4: Simplify right side
    120,063.81x = 10,872,001,809.66
  5. Step 5: Solve for x
    x = 10,872,001,809.66/120,063.81
  6. Step 6: Final answer
    x = 90,551.86

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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.