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Finding the Fourth Proportional to 120,159.63, 165,821.15 and 65,712.05

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Solution

The fourth proportional to 120,159.63, 165,821.15 and 65,712.05 is: 90,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,159.63 : 165,821.15 = 65,712.05 : x
  2. Step 2: Convert to fraction form
    120,159.63/165,821.15 = 65,712.05/x
  3. Step 3: Cross multiply
    120,159.63x = 165,821.15 × 65,712.05
  4. Step 4: Simplify right side
    120,159.63x = 10,896,446,542.19
  5. Step 5: Solve for x
    x = 10,896,446,542.19/120,159.63
  6. Step 6: Final answer
    x = 90,683.09

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1.5x scale

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.