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Finding the Fourth Proportional to 221,461.50, 305,633.31 and 125,998.95

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Solution

The fourth proportional to 221,461.50, 305,633.31 and 125,998.95 is: 173,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,461.50 : 305,633.31 = 125,998.95 : x
  2. Step 2: Convert to fraction form
    221,461.50/305,633.31 = 125,998.95/x
  3. Step 3: Cross multiply
    221,461.50x = 305,633.31 × 125,998.95
  4. Step 4: Simplify right side
    221,461.50x = 38,509,476,145.02
  5. Step 5: Solve for x
    x = 38,509,476,145.02/221,461.50
  6. Step 6: Final answer
    x = 173,887.90

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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.