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Finding the Fourth Proportional to 189,898.86, 262,049.82 and 103,840.79

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Solution

The fourth proportional to 189,898.86, 262,049.82 and 103,840.79 is: 143,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,898.86 : 262,049.82 = 103,840.79 : x
  2. Step 2: Convert to fraction form
    189,898.86/262,049.82 = 103,840.79/x
  3. Step 3: Cross multiply
    189,898.86x = 262,049.82 × 103,840.79
  4. Step 4: Simplify right side
    189,898.86x = 27,211,458,628.51
  5. Step 5: Solve for x
    x = 27,211,458,628.51/189,898.86
  6. Step 6: Final answer
    x = 143,294.48

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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.