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Finding the Fourth Proportional to 142,980.68, 214,331.57 and 68,080.70

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Solution

The fourth proportional to 142,980.68, 214,331.57 and 68,080.70 is: 102,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,980.68 : 214,331.57 = 68,080.70 : x
  2. Step 2: Convert to fraction form
    142,980.68/214,331.57 = 68,080.70/x
  3. Step 3: Cross multiply
    142,980.68x = 214,331.57 × 68,080.70
  4. Step 4: Simplify right side
    142,980.68x = 14,591,842,977.30
  5. Step 5: Solve for x
    x = 14,591,842,977.30/142,980.68
  6. Step 6: Final answer
    x = 102,054.65

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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.