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Finding the Fourth Proportional to 149,245.31, 205,962.22 and 81,266.01

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Solution

The fourth proportional to 149,245.31, 205,962.22 and 81,266.01 is: 112,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,245.31 : 205,962.22 = 81,266.01 : x
  2. Step 2: Convert to fraction form
    149,245.31/205,962.22 = 81,266.01/x
  3. Step 3: Cross multiply
    149,245.31x = 205,962.22 × 81,266.01
  4. Step 4: Simplify right side
    149,245.31x = 16,737,727,931.72
  5. Step 5: Solve for x
    x = 16,737,727,931.72/149,245.31
  6. Step 6: Final answer
    x = 112,149.10

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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.