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Finding the Fourth Proportional to 53,340, 73,609.20 and 30,996.96

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Solution

The fourth proportional to 53,340, 73,609.20 and 30,996.96 is: 42,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,340 : 73,609.20 = 30,996.96 : x
  2. Step 2: Convert to fraction form
    53,340/73,609.20 = 30,996.96/x
  3. Step 3: Cross multiply
    53,340x = 73,609.20 × 30,996.96
  4. Step 4: Simplify right side
    53,340x = 2,281,661,428.03
  5. Step 5: Solve for x
    x = 2,281,661,428.03/53,340
  6. Step 6: Final answer
    x = 42,775.80

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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.