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Finding the Fourth Proportional to 57,675.28, 86,443.26 and 28,048.72

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Solution

The fourth proportional to 57,675.28, 86,443.26 and 28,048.72 is: 42,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,675.28 : 86,443.26 = 28,048.72 : x
  2. Step 2: Convert to fraction form
    57,675.28/86,443.26 = 28,048.72/x
  3. Step 3: Cross multiply
    57,675.28x = 86,443.26 × 28,048.72
  4. Step 4: Simplify right side
    57,675.28x = 2,424,622,795.63
  5. Step 5: Solve for x
    x = 2,424,622,795.63/57,675.28
  6. Step 6: Final answer
    x = 42,039.20

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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.