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Finding the Fourth Proportional to 119,593.34, 165,039 and 65,878.58

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Solution

The fourth proportional to 119,593.34, 165,039 and 65,878.58 is: 90,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,593.34 : 165,039 = 65,878.58 : x
  2. Step 2: Convert to fraction form
    119,593.34/165,039 = 65,878.58/x
  3. Step 3: Cross multiply
    119,593.34x = 165,039 × 65,878.58
  4. Step 4: Simplify right side
    119,593.34x = 10,872,534,964.62
  5. Step 5: Solve for x
    x = 10,872,534,964.62/119,593.34
  6. Step 6: Final answer
    x = 90,912.55

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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.