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Finding the Fourth Proportional to 180,419.88, 270,839.28 and 105,593.76

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Solution

The fourth proportional to 180,419.88, 270,839.28 and 105,593.76 is: 158,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,419.88 : 270,839.28 = 105,593.76 : x
  2. Step 2: Convert to fraction form
    180,419.88/270,839.28 = 105,593.76/x
  3. Step 3: Cross multiply
    180,419.88x = 270,839.28 × 105,593.76
  4. Step 4: Simplify right side
    180,419.88x = 28,598,937,930.89
  5. Step 5: Solve for x
    x = 28,598,937,930.89/180,419.88
  6. Step 6: Final answer
    x = 158,513.23

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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.