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Finding the Fourth Proportional to 223,129.93, 307,843.26 and 142,603.91

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Solution

The fourth proportional to 223,129.93, 307,843.26 and 142,603.91 is: 196,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,129.93 : 307,843.26 = 142,603.91 : x
  2. Step 2: Convert to fraction form
    223,129.93/307,843.26 = 142,603.91/x
  3. Step 3: Cross multiply
    223,129.93x = 307,843.26 × 142,603.91
  4. Step 4: Simplify right side
    223,129.93x = 43,899,652,425.72
  5. Step 5: Solve for x
    x = 43,899,652,425.72/223,129.93
  6. Step 6: Final answer
    x = 196,744.80

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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.