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Finding the Fourth Proportional to 221,262, 305,364.60 and 136,376.88

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Solution

The fourth proportional to 221,262, 305,364.60 and 136,376.88 is: 188,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,262 : 305,364.60 = 136,376.88 : x
  2. Step 2: Convert to fraction form
    221,262/305,364.60 = 136,376.88/x
  3. Step 3: Cross multiply
    221,262x = 305,364.60 × 136,376.88
  4. Step 4: Simplify right side
    221,262x = 41,644,671,410.45
  5. Step 5: Solve for x
    x = 41,644,671,410.45/221,262
  6. Step 6: Final answer
    x = 188,214.30

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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.