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Finding the Fourth Proportional to 56,963.48, 78,609.90 and 31,469.54

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Solution

The fourth proportional to 56,963.48, 78,609.90 and 31,469.54 is: 43,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,963.48 : 78,609.90 = 31,469.54 : x
  2. Step 2: Convert to fraction form
    56,963.48/78,609.90 = 31,469.54/x
  3. Step 3: Cross multiply
    56,963.48x = 78,609.90 × 31,469.54
  4. Step 4: Simplify right side
    56,963.48x = 2,473,817,392.45
  5. Step 5: Solve for x
    x = 2,473,817,392.45/56,963.48
  6. Step 6: Final answer
    x = 43,428.13

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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.