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Finding the Fourth Proportional to 82,003.90, 122,908.65 and 34,618.90

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Solution

The fourth proportional to 82,003.90, 122,908.65 and 34,618.90 is: 51,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.90 : 122,908.65 = 34,618.90 : x
  2. Step 2: Convert to fraction form
    82,003.90/122,908.65 = 34,618.90/x
  3. Step 3: Cross multiply
    82,003.90x = 122,908.65 × 34,618.90
  4. Step 4: Simplify right side
    82,003.90x = 4,254,962,263.49
  5. Step 5: Solve for x
    x = 4,254,962,263.49/82,003.90
  6. Step 6: Final answer
    x = 51,887.32

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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.