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Finding the Fourth Proportional to 146,166, 219,256.20 and 47,670

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Solution

The fourth proportional to 146,166, 219,256.20 and 47,670 is: 71,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,166 : 219,256.20 = 47,670 : x
  2. Step 2: Convert to fraction form
    146,166/219,256.20 = 47,670/x
  3. Step 3: Cross multiply
    146,166x = 219,256.20 × 47,670
  4. Step 4: Simplify right side
    146,166x = 10,451,943,054
  5. Step 5: Solve for x
    x = 10,451,943,054/146,166
  6. Step 6: Final answer
    x = 71,507.35

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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.