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Finding the Fourth Proportional to 113,776, 170,664 and 30,670

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Solution

The fourth proportional to 113,776, 170,664 and 30,670 is: 46,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,776 : 170,664 = 30,670 : x
  2. Step 2: Convert to fraction form
    113,776/170,664 = 30,670/x
  3. Step 3: Cross multiply
    113,776x = 170,664 × 30,670
  4. Step 4: Simplify right side
    113,776x = 5,234,264,880
  5. Step 5: Solve for x
    x = 5,234,264,880/113,776
  6. Step 6: Final answer
    x = 46,005

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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.