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Finding the Fourth Proportional to 221,602.50, 305,822.52 and 126,118.08

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Solution

The fourth proportional to 221,602.50, 305,822.52 and 126,118.08 is: 174,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,602.50 : 305,822.52 = 126,118.08 : x
  2. Step 2: Convert to fraction form
    221,602.50/305,822.52 = 126,118.08/x
  3. Step 3: Cross multiply
    221,602.50x = 305,822.52 × 126,118.08
  4. Step 4: Simplify right side
    221,602.50x = 38,569,749,043.16
  5. Step 5: Solve for x
    x = 38,569,749,043.16/221,602.50
  6. Step 6: Final answer
    x = 174,049.25

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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.