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Finding the Fourth Proportional to 102,166.90, 140,987.46 and 56,842.54

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Solution

The fourth proportional to 102,166.90, 140,987.46 and 56,842.54 is: 78,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166.90 : 140,987.46 = 56,842.54 : x
  2. Step 2: Convert to fraction form
    102,166.90/140,987.46 = 56,842.54/x
  3. Step 3: Cross multiply
    102,166.90x = 140,987.46 × 56,842.54
  4. Step 4: Simplify right side
    102,166.90x = 8,014,085,334.55
  5. Step 5: Solve for x
    x = 8,014,085,334.55/102,166.90
  6. Step 6: Final answer
    x = 78,441.11

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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.