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Finding the Fourth Proportional to 51,791.28, 77,720.52 and 28,434

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Solution

The fourth proportional to 51,791.28, 77,720.52 and 28,434 is: 42,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,791.28 : 77,720.52 = 28,434 : x
  2. Step 2: Convert to fraction form
    51,791.28/77,720.52 = 28,434/x
  3. Step 3: Cross multiply
    51,791.28x = 77,720.52 × 28,434
  4. Step 4: Simplify right side
    51,791.28x = 2,209,905,265.68
  5. Step 5: Solve for x
    x = 2,209,905,265.68/51,791.28
  6. Step 6: Final answer
    x = 42,669.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.