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Finding the Fourth Proportional to 150,642.90, 225,958.55 and 45,459

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Solution

The fourth proportional to 150,642.90, 225,958.55 and 45,459 is: 68,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642.90 : 225,958.55 = 45,459 : x
  2. Step 2: Convert to fraction form
    150,642.90/225,958.55 = 45,459/x
  3. Step 3: Cross multiply
    150,642.90x = 225,958.55 × 45,459
  4. Step 4: Simplify right side
    150,642.90x = 10,271,849,497.16
  5. Step 5: Solve for x
    x = 10,271,849,497.16/150,642.90
  6. Step 6: Final answer
    x = 68,186.75

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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.