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Finding the Fourth Proportional to 78,126.86, 117,180.98 and 20,420.30

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Solution

The fourth proportional to 78,126.86, 117,180.98 and 20,420.30 is: 30,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.86 : 117,180.98 = 20,420.30 : x
  2. Step 2: Convert to fraction form
    78,126.86/117,180.98 = 20,420.30/x
  3. Step 3: Cross multiply
    78,126.86x = 117,180.98 × 20,420.30
  4. Step 4: Simplify right side
    78,126.86x = 2,392,870,765.89
  5. Step 5: Solve for x
    x = 2,392,870,765.89/78,126.86
  6. Step 6: Final answer
    x = 30,628.02

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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.