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Finding the Fourth Proportional to 221,364, 305,482.32 and 131,940

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Solution

The fourth proportional to 221,364, 305,482.32 and 131,940 is: 182,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,364 : 305,482.32 = 131,940 : x
  2. Step 2: Convert to fraction form
    221,364/305,482.32 = 131,940/x
  3. Step 3: Cross multiply
    221,364x = 305,482.32 × 131,940
  4. Step 4: Simplify right side
    221,364x = 40,305,337,300.80
  5. Step 5: Solve for x
    x = 40,305,337,300.80/221,364
  6. Step 6: Final answer
    x = 182,077.20

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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.