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Finding the Fourth Proportional to 170,223, 255,334.50 and 45,564

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Solution

The fourth proportional to 170,223, 255,334.50 and 45,564 is: 68,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,223 : 255,334.50 = 45,564 : x
  2. Step 2: Convert to fraction form
    170,223/255,334.50 = 45,564/x
  3. Step 3: Cross multiply
    170,223x = 255,334.50 × 45,564
  4. Step 4: Simplify right side
    170,223x = 11,634,061,158
  5. Step 5: Solve for x
    x = 11,634,061,158/170,223
  6. Step 6: Final answer
    x = 68,346

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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.