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Finding the Fourth Proportional to 145,168, 217,752 and 46,672

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Solution

The fourth proportional to 145,168, 217,752 and 46,672 is: 70,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,168 : 217,752 = 46,672 : x
  2. Step 2: Convert to fraction form
    145,168/217,752 = 46,672/x
  3. Step 3: Cross multiply
    145,168x = 217,752 × 46,672
  4. Step 4: Simplify right side
    145,168x = 10,162,921,344
  5. Step 5: Solve for x
    x = 10,162,921,344/145,168
  6. Step 6: Final answer
    x = 70,008

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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.