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Finding the Fourth Proportional to 145,172, 217,758 and 46,676

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Solution

The fourth proportional to 145,172, 217,758 and 46,676 is: 70,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,172 : 217,758 = 46,676 : x
  2. Step 2: Convert to fraction form
    145,172/217,758 = 46,676/x
  3. Step 3: Cross multiply
    145,172x = 217,758 × 46,676
  4. Step 4: Simplify right side
    145,172x = 10,164,072,408
  5. Step 5: Solve for x
    x = 10,164,072,408/145,172
  6. Step 6: Final answer
    x = 70,014

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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.