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Finding the Fourth Proportional to 119,905, 165,471.54 and 66,189.88

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Solution

The fourth proportional to 119,905, 165,471.54 and 66,189.88 is: 91,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,905 : 165,471.54 = 66,189.88 : x
  2. Step 2: Convert to fraction form
    119,905/165,471.54 = 66,189.88/x
  3. Step 3: Cross multiply
    119,905x = 165,471.54 × 66,189.88
  4. Step 4: Simplify right side
    119,905x = 10,952,541,376.02
  5. Step 5: Solve for x
    x = 10,952,541,376.02/119,905
  6. Step 6: Final answer
    x = 91,343.49

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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.