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Finding the Fourth Proportional to 149,203.96, 205,896.28 and 81,219.72

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Solution

The fourth proportional to 149,203.96, 205,896.28 and 81,219.72 is: 112,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,203.96 : 205,896.28 = 81,219.72 : x
  2. Step 2: Convert to fraction form
    149,203.96/205,896.28 = 81,219.72/x
  3. Step 3: Cross multiply
    149,203.96x = 205,896.28 × 81,219.72
  4. Step 4: Simplify right side
    149,203.96x = 16,722,838,210.64
  5. Step 5: Solve for x
    x = 16,722,838,210.64/149,203.96
  6. Step 6: Final answer
    x = 112,080.39

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1.5x scale

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.