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Finding the Fourth Proportional to 136,047.80, 204,071.44 and 36,208

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Solution

The fourth proportional to 136,047.80, 204,071.44 and 36,208 is: 54,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,047.80 : 204,071.44 = 36,208 : x
  2. Step 2: Convert to fraction form
    136,047.80/204,071.44 = 36,208/x
  3. Step 3: Cross multiply
    136,047.80x = 204,071.44 × 36,208
  4. Step 4: Simplify right side
    136,047.80x = 7,389,018,699.52
  5. Step 5: Solve for x
    x = 7,389,018,699.52/136,047.80
  6. Step 6: Final answer
    x = 54,311.93

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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.