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Finding the Fourth Proportional to 201,105.53, 301,657.96 and 51,345.85

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Solution

The fourth proportional to 201,105.53, 301,657.96 and 51,345.85 is: 77,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,105.53 : 301,657.96 = 51,345.85 : x
  2. Step 2: Convert to fraction form
    201,105.53/301,657.96 = 51,345.85/x
  3. Step 3: Cross multiply
    201,105.53x = 301,657.96 × 51,345.85
  4. Step 4: Simplify right side
    201,105.53x = 15,488,884,365.47
  5. Step 5: Solve for x
    x = 15,488,884,365.47/201,105.53
  6. Step 6: Final answer
    x = 77,018.69

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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.