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Finding the Fourth Proportional to 292,105.28, 403,105.60 and 157,969.28

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Solution

The fourth proportional to 292,105.28, 403,105.60 and 157,969.28 is: 217,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,105.28 : 403,105.60 = 157,969.28 : x
  2. Step 2: Convert to fraction form
    292,105.28/403,105.60 = 157,969.28/x
  3. Step 3: Cross multiply
    292,105.28x = 403,105.60 × 157,969.28
  4. Step 4: Simplify right side
    292,105.28x = 63,678,301,395.97
  5. Step 5: Solve for x
    x = 63,678,301,395.97/292,105.28
  6. Step 6: Final answer
    x = 217,997.78

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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.