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Finding the Fourth Proportional to 68,575.90, 102,826.86 and 31,115.54

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Solution

The fourth proportional to 68,575.90, 102,826.86 and 31,115.54 is: 46,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,575.90 : 102,826.86 = 31,115.54 : x
  2. Step 2: Convert to fraction form
    68,575.90/102,826.86 = 31,115.54/x
  3. Step 3: Cross multiply
    68,575.90x = 102,826.86 × 31,115.54
  4. Step 4: Simplify right side
    68,575.90x = 3,199,513,275.40
  5. Step 5: Solve for x
    x = 3,199,513,275.40/68,575.90
  6. Step 6: Final answer
    x = 46,656.53

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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.