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Finding the Fourth Proportional to 154,993.12, 213,835.52 and 101,309.12

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Solution

The fourth proportional to 154,993.12, 213,835.52 and 101,309.12 is: 139,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,993.12 : 213,835.52 = 101,309.12 : x
  2. Step 2: Convert to fraction form
    154,993.12/213,835.52 = 101,309.12/x
  3. Step 3: Cross multiply
    154,993.12x = 213,835.52 × 101,309.12
  4. Step 4: Simplify right side
    154,993.12x = 21,663,488,355.94
  5. Step 5: Solve for x
    x = 21,663,488,355.94/154,993.12
  6. Step 6: Final answer
    x = 139,770.65

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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.