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Finding the Fourth Proportional to 56,702.56, 78,252.60 and 31,552.60

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Solution

The fourth proportional to 56,702.56, 78,252.60 and 31,552.60 is: 43,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702.56 : 78,252.60 = 31,552.60 : x
  2. Step 2: Convert to fraction form
    56,702.56/78,252.60 = 31,552.60/x
  3. Step 3: Cross multiply
    56,702.56x = 78,252.60 × 31,552.60
  4. Step 4: Simplify right side
    56,702.56x = 2,469,072,986.76
  5. Step 5: Solve for x
    x = 2,469,072,986.76/56,702.56
  6. Step 6: Final answer
    x = 43,544.29

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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.