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Finding the Fourth Proportional to 119,652.63, 165,118.51 and 65,205.29

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Solution

The fourth proportional to 119,652.63, 165,118.51 and 65,205.29 is: 89,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652.63 : 165,118.51 = 65,205.29 : x
  2. Step 2: Convert to fraction form
    119,652.63/165,118.51 = 65,205.29/x
  3. Step 3: Cross multiply
    119,652.63x = 165,118.51 × 65,205.29
  4. Step 4: Simplify right side
    119,652.63x = 10,766,600,328.92
  5. Step 5: Solve for x
    x = 10,766,600,328.92/119,652.63
  6. Step 6: Final answer
    x = 89,982.15

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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.