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Finding the Fourth Proportional to 139,825.80, 209,738.70 and 76,840.20

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Solution

The fourth proportional to 139,825.80, 209,738.70 and 76,840.20 is: 115,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,825.80 : 209,738.70 = 76,840.20 : x
  2. Step 2: Convert to fraction form
    139,825.80/209,738.70 = 76,840.20/x
  3. Step 3: Cross multiply
    139,825.80x = 209,738.70 × 76,840.20
  4. Step 4: Simplify right side
    139,825.80x = 16,116,363,655.74
  5. Step 5: Solve for x
    x = 16,116,363,655.74/139,825.80
  6. Step 6: Final answer
    x = 115,260.30

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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.