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Finding the Fourth Proportional to 145,166, 217,749 and 46,670

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Solution

The fourth proportional to 145,166, 217,749 and 46,670 is: 70,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,166 : 217,749 = 46,670 : x
  2. Step 2: Convert to fraction form
    145,166/217,749 = 46,670/x
  3. Step 3: Cross multiply
    145,166x = 217,749 × 46,670
  4. Step 4: Simplify right side
    145,166x = 10,162,345,830
  5. Step 5: Solve for x
    x = 10,162,345,830/145,166
  6. Step 6: Final answer
    x = 70,005

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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.