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Finding the Fourth Proportional to 138,461.49, 208,081.80 and 82,311.63

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Solution

The fourth proportional to 138,461.49, 208,081.80 and 82,311.63 is: 123,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,461.49 : 208,081.80 = 82,311.63 : x
  2. Step 2: Convert to fraction form
    138,461.49/208,081.80 = 82,311.63/x
  3. Step 3: Cross multiply
    138,461.49x = 208,081.80 × 82,311.63
  4. Step 4: Simplify right side
    138,461.49x = 17,127,552,131.33
  5. Step 5: Solve for x
    x = 17,127,552,131.33/138,461.49
  6. Step 6: Final answer
    x = 123,699.03

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1.5x scale

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.