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Finding the Fourth Proportional to 292,128, 403,136.64 and 157,992

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Solution

The fourth proportional to 292,128, 403,136.64 and 157,992 is: 218,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,128 : 403,136.64 = 157,992 : x
  2. Step 2: Convert to fraction form
    292,128/403,136.64 = 157,992/x
  3. Step 3: Cross multiply
    292,128x = 403,136.64 × 157,992
  4. Step 4: Simplify right side
    292,128x = 63,692,364,026.88
  5. Step 5: Solve for x
    x = 63,692,364,026.88/292,128
  6. Step 6: Final answer
    x = 218,028.96

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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.