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Finding the Fourth Proportional to 221,154.84, 305,193.69 and 120,552.84

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Solution

The fourth proportional to 221,154.84, 305,193.69 and 120,552.84 is: 166,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,154.84 : 305,193.69 = 120,552.84 : x
  2. Step 2: Convert to fraction form
    221,154.84/305,193.69 = 120,552.84/x
  3. Step 3: Cross multiply
    221,154.84x = 305,193.69 × 120,552.84
  4. Step 4: Simplify right side
    221,154.84x = 36,791,966,079.58
  5. Step 5: Solve for x
    x = 36,791,966,079.58/221,154.84
  6. Step 6: Final answer
    x = 166,362.93

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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.