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Finding the Fourth Proportional to 207,138.40, 310,707.60 and 82,415.20

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Solution

The fourth proportional to 207,138.40, 310,707.60 and 82,415.20 is: 123,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,138.40 : 310,707.60 = 82,415.20 : x
  2. Step 2: Convert to fraction form
    207,138.40/310,707.60 = 82,415.20/x
  3. Step 3: Cross multiply
    207,138.40x = 310,707.60 × 82,415.20
  4. Step 4: Simplify right side
    207,138.40x = 25,607,028,995.52
  5. Step 5: Solve for x
    x = 25,607,028,995.52/207,138.40
  6. Step 6: Final answer
    x = 123,622.80

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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.