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Finding the Fourth Proportional to 138,897.91, 208,345.65 and 33,716.98

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Solution

The fourth proportional to 138,897.91, 208,345.65 and 33,716.98 is: 50,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,897.91 : 208,345.65 = 33,716.98 : x
  2. Step 2: Convert to fraction form
    138,897.91/208,345.65 = 33,716.98/x
  3. Step 3: Cross multiply
    138,897.91x = 208,345.65 × 33,716.98
  4. Step 4: Simplify right side
    138,897.91x = 7,024,786,114.14
  5. Step 5: Solve for x
    x = 7,024,786,114.14/138,897.91
  6. Step 6: Final answer
    x = 50,575.18

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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.