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Finding the Fourth Proportional to 102,078.54, 140,874.77 and 56,766.66

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Solution

The fourth proportional to 102,078.54, 140,874.77 and 56,766.66 is: 78,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,078.54 : 140,874.77 = 56,766.66 : x
  2. Step 2: Convert to fraction form
    102,078.54/140,874.77 = 56,766.66/x
  3. Step 3: Cross multiply
    102,078.54x = 140,874.77 × 56,766.66
  4. Step 4: Simplify right side
    102,078.54x = 7,996,990,171.17
  5. Step 5: Solve for x
    x = 7,996,990,171.17/102,078.54
  6. Step 6: Final answer
    x = 78,341.54

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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.