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Finding the Fourth Proportional to 47,749.76, 71,624.64 and 18,160.76

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Solution

The fourth proportional to 47,749.76, 71,624.64 and 18,160.76 is: 27,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749.76 : 71,624.64 = 18,160.76 : x
  2. Step 2: Convert to fraction form
    47,749.76/71,624.64 = 18,160.76/x
  3. Step 3: Cross multiply
    47,749.76x = 71,624.64 × 18,160.76
  4. Step 4: Simplify right side
    47,749.76x = 1,300,757,897.13
  5. Step 5: Solve for x
    x = 1,300,757,897.13/47,749.76
  6. Step 6: Final answer
    x = 27,241.14

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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.