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Finding the Fourth Proportional to 57,129.71, 78,838.79 and 31,979.21

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Solution

The fourth proportional to 57,129.71, 78,838.79 and 31,979.21 is: 44,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129.71 : 78,838.79 = 31,979.21 : x
  2. Step 2: Convert to fraction form
    57,129.71/78,838.79 = 31,979.21/x
  3. Step 3: Cross multiply
    57,129.71x = 78,838.79 × 31,979.21
  4. Step 4: Simplify right side
    57,129.71x = 2,521,201,667.47
  5. Step 5: Solve for x
    x = 2,521,201,667.47/57,129.71
  6. Step 6: Final answer
    x = 44,131.19

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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.