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Finding the Fourth Proportional to 149,058.27, 205,700.27 and 85,396.32

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Solution

The fourth proportional to 149,058.27, 205,700.27 and 85,396.32 is: 117,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,058.27 : 205,700.27 = 85,396.32 : x
  2. Step 2: Convert to fraction form
    149,058.27/205,700.27 = 85,396.32/x
  3. Step 3: Cross multiply
    149,058.27x = 205,700.27 × 85,396.32
  4. Step 4: Simplify right side
    149,058.27x = 17,566,045,654.02
  5. Step 5: Solve for x
    x = 17,566,045,654.02/149,058.27
  6. Step 6: Final answer
    x = 117,846.84

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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.