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Finding the Fourth Proportional to 228,692.09, 315,749.14 and 142,781.87

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Solution

The fourth proportional to 228,692.09, 315,749.14 and 142,781.87 is: 197,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,692.09 : 315,749.14 = 142,781.87 : x
  2. Step 2: Convert to fraction form
    228,692.09/315,749.14 = 142,781.87/x
  3. Step 3: Cross multiply
    228,692.09x = 315,749.14 × 142,781.87
  4. Step 4: Simplify right side
    228,692.09x = 45,083,253,092.51
  5. Step 5: Solve for x
    x = 45,083,253,092.51/228,692.09
  6. Step 6: Final answer
    x = 197,135.16

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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.