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Finding the Fourth Proportional to 292,133, 403,143.54 and 157,997

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Solution

The fourth proportional to 292,133, 403,143.54 and 157,997 is: 218,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,133 : 403,143.54 = 157,997 : x
  2. Step 2: Convert to fraction form
    292,133/403,143.54 = 157,997/x
  3. Step 3: Cross multiply
    292,133x = 403,143.54 × 157,997
  4. Step 4: Simplify right side
    292,133x = 63,695,469,889.38
  5. Step 5: Solve for x
    x = 63,695,469,889.38/292,133
  6. Step 6: Final answer
    x = 218,035.86

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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.