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Finding the Fourth Proportional to 57,242.71, 78,992.13 and 31,747.08

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Solution

The fourth proportional to 57,242.71, 78,992.13 and 31,747.08 is: 43,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.71 : 78,992.13 = 31,747.08 : x
  2. Step 2: Convert to fraction form
    57,242.71/78,992.13 = 31,747.08/x
  3. Step 3: Cross multiply
    57,242.71x = 78,992.13 × 31,747.08
  4. Step 4: Simplify right side
    57,242.71x = 2,507,769,470.48
  5. Step 5: Solve for x
    x = 2,507,769,470.48/57,242.71
  6. Step 6: Final answer
    x = 43,809.41

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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.