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Finding the Fourth Proportional to 149,058.40, 205,729.80 and 85,438.80

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Solution

The fourth proportional to 149,058.40, 205,729.80 and 85,438.80 is: 117,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,058.40 : 205,729.80 = 85,438.80 : x
  2. Step 2: Convert to fraction form
    149,058.40/205,729.80 = 85,438.80/x
  3. Step 3: Cross multiply
    149,058.40x = 205,729.80 × 85,438.80
  4. Step 4: Simplify right side
    149,058.40x = 17,577,307,236.24
  5. Step 5: Solve for x
    x = 17,577,307,236.24/149,058.40
  6. Step 6: Final answer
    x = 117,922.29

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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.