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Finding the Fourth Proportional to 56,829.29, 78,425.03 and 31,335.71

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Solution

The fourth proportional to 56,829.29, 78,425.03 and 31,335.71 is: 43,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,829.29 : 78,425.03 = 31,335.71 : x
  2. Step 2: Convert to fraction form
    56,829.29/78,425.03 = 31,335.71/x
  3. Step 3: Cross multiply
    56,829.29x = 78,425.03 × 31,335.71
  4. Step 4: Simplify right side
    56,829.29x = 2,457,503,448.02
  5. Step 5: Solve for x
    x = 2,457,503,448.02/56,829.29
  6. Step 6: Final answer
    x = 43,243.61

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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.