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Finding the Fourth Proportional to 55,602.26, 76,731.38 and 30,451.76

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Solution

The fourth proportional to 55,602.26, 76,731.38 and 30,451.76 is: 42,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,602.26 : 76,731.38 = 30,451.76 : x
  2. Step 2: Convert to fraction form
    55,602.26/76,731.38 = 30,451.76/x
  3. Step 3: Cross multiply
    55,602.26x = 76,731.38 × 30,451.76
  4. Step 4: Simplify right side
    55,602.26x = 2,336,605,568.23
  5. Step 5: Solve for x
    x = 2,336,605,568.23/55,602.26
  6. Step 6: Final answer
    x = 42,023.57

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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.