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Finding the Fourth Proportional to 159,033, 219,234.26 and 111,137.64

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Solution

The fourth proportional to 159,033, 219,234.26 and 111,137.64 is: 153,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,033 : 219,234.26 = 111,137.64 : x
  2. Step 2: Convert to fraction form
    159,033/219,234.26 = 111,137.64/x
  3. Step 3: Cross multiply
    159,033x = 219,234.26 × 111,137.64
  4. Step 4: Simplify right side
    159,033x = 24,365,178,263.55
  5. Step 5: Solve for x
    x = 24,365,178,263.55/159,033
  6. Step 6: Final answer
    x = 153,208.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.