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Finding the Fourth Proportional to 147,621.84, 221,469.84 and 42,441

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Solution

The fourth proportional to 147,621.84, 221,469.84 and 42,441 is: 63,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,621.84 : 221,469.84 = 42,441 : x
  2. Step 2: Convert to fraction form
    147,621.84/221,469.84 = 42,441/x
  3. Step 3: Cross multiply
    147,621.84x = 221,469.84 × 42,441
  4. Step 4: Simplify right side
    147,621.84x = 9,399,401,479.44
  5. Step 5: Solve for x
    x = 9,399,401,479.44/147,621.84
  6. Step 6: Final answer
    x = 63,672.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.