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Finding the Fourth Proportional to 57,784.76, 86,704.63 and 40,042.72

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Solution

The fourth proportional to 57,784.76, 86,704.63 and 40,042.72 is: 60,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.76 : 86,704.63 = 40,042.72 : x
  2. Step 2: Convert to fraction form
    57,784.76/86,704.63 = 40,042.72/x
  3. Step 3: Cross multiply
    57,784.76x = 86,704.63 × 40,042.72
  4. Step 4: Simplify right side
    57,784.76x = 3,471,889,230.07
  5. Step 5: Solve for x
    x = 3,471,889,230.07/57,784.76
  6. Step 6: Final answer
    x = 60,083.13

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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.