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Finding the Fourth Proportional to 292,132, 403,142.16 and 157,996

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Solution

The fourth proportional to 292,132, 403,142.16 and 157,996 is: 218,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,132 : 403,142.16 = 157,996 : x
  2. Step 2: Convert to fraction form
    292,132/403,142.16 = 157,996/x
  3. Step 3: Cross multiply
    292,132x = 403,142.16 × 157,996
  4. Step 4: Simplify right side
    292,132x = 63,694,848,711.36
  5. Step 5: Solve for x
    x = 63,694,848,711.36/292,132
  6. Step 6: Final answer
    x = 218,034.48

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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.