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Finding the Fourth Proportional to 49,663.76, 74,512.20 and 20,065.64

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Solution

The fourth proportional to 49,663.76, 74,512.20 and 20,065.64 is: 30,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663.76 : 74,512.20 = 20,065.64 : x
  2. Step 2: Convert to fraction form
    49,663.76/74,512.20 = 20,065.64/x
  3. Step 3: Cross multiply
    49,663.76x = 74,512.20 × 20,065.64
  4. Step 4: Simplify right side
    49,663.76x = 1,495,134,980.81
  5. Step 5: Solve for x
    x = 1,495,134,980.81/49,663.76
  6. Step 6: Final answer
    x = 30,105.15

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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.