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Finding the Fourth Proportional to 292,129, 403,138.02 and 157,993

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Solution

The fourth proportional to 292,129, 403,138.02 and 157,993 is: 218,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,129 : 403,138.02 = 157,993 : x
  2. Step 2: Convert to fraction form
    292,129/403,138.02 = 157,993/x
  3. Step 3: Cross multiply
    292,129x = 403,138.02 × 157,993
  4. Step 4: Simplify right side
    292,129x = 63,692,985,193.86
  5. Step 5: Solve for x
    x = 63,692,985,193.86/292,129
  6. Step 6: Final answer
    x = 218,030.34

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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.