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Finding the Fourth Proportional to 180,260.16, 270,419.40 and 75,089.76

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Solution

The fourth proportional to 180,260.16, 270,419.40 and 75,089.76 is: 112,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,260.16 : 270,419.40 = 75,089.76 : x
  2. Step 2: Convert to fraction form
    180,260.16/270,419.40 = 75,089.76/x
  3. Step 3: Cross multiply
    180,260.16x = 270,419.40 × 75,089.76
  4. Step 4: Simplify right side
    180,260.16x = 20,305,727,845.34
  5. Step 5: Solve for x
    x = 20,305,727,845.34/180,260.16
  6. Step 6: Final answer
    x = 112,646.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.