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Finding the Fourth Proportional to 189,902.61, 262,055.00 and 103,844.54

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Solution

The fourth proportional to 189,902.61, 262,055.00 and 103,844.54 is: 143,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,902.61 : 262,055.00 = 103,844.54 : x
  2. Step 2: Convert to fraction form
    189,902.61/262,055.00 = 103,844.54/x
  3. Step 3: Cross multiply
    189,902.61x = 262,055.00 × 103,844.54
  4. Step 4: Simplify right side
    189,902.61x = 27,212,979,100.20
  5. Step 5: Solve for x
    x = 27,212,979,100.20/189,902.61
  6. Step 6: Final answer
    x = 143,299.66

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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.