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Finding the Fourth Proportional to 149,199.88, 205,889.40 and 81,216.96

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Solution

The fourth proportional to 149,199.88, 205,889.40 and 81,216.96 is: 112,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,199.88 : 205,889.40 = 81,216.96 : x
  2. Step 2: Convert to fraction form
    149,199.88/205,889.40 = 81,216.96/x
  3. Step 3: Cross multiply
    149,199.88x = 205,889.40 × 81,216.96
  4. Step 4: Simplify right side
    149,199.88x = 16,721,711,164.22
  5. Step 5: Solve for x
    x = 16,721,711,164.22/149,199.88
  6. Step 6: Final answer
    x = 112,075.90

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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.