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Finding the Fourth Proportional to 103,738.38, 143,160.82 and 61,296.82

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Solution

The fourth proportional to 103,738.38, 143,160.82 and 61,296.82 is: 84,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,738.38 : 143,160.82 = 61,296.82 : x
  2. Step 2: Convert to fraction form
    103,738.38/143,160.82 = 61,296.82/x
  3. Step 3: Cross multiply
    103,738.38x = 143,160.82 × 61,296.82
  4. Step 4: Simplify right side
    103,738.38x = 8,775,303,014.59
  5. Step 5: Solve for x
    x = 8,775,303,014.59/103,738.38
  6. Step 6: Final answer
    x = 84,590.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.