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Finding the Fourth Proportional to 68,702.88, 103,034.88 and 31,242

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Solution

The fourth proportional to 68,702.88, 103,034.88 and 31,242 is: 46,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,702.88 : 103,034.88 = 31,242 : x
  2. Step 2: Convert to fraction form
    68,702.88/103,034.88 = 31,242/x
  3. Step 3: Cross multiply
    68,702.88x = 103,034.88 × 31,242
  4. Step 4: Simplify right side
    68,702.88x = 3,219,015,720.96
  5. Step 5: Solve for x
    x = 3,219,015,720.96/68,702.88
  6. Step 6: Final answer
    x = 46,854.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.