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Finding the Fourth Proportional to 189,143.62, 261,016.60 and 103,101.02

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Solution

The fourth proportional to 189,143.62, 261,016.60 and 103,101.02 is: 142,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,143.62 : 261,016.60 = 103,101.02 : x
  2. Step 2: Convert to fraction form
    189,143.62/261,016.60 = 103,101.02/x
  3. Step 3: Cross multiply
    189,143.62x = 261,016.60 × 103,101.02
  4. Step 4: Simplify right side
    189,143.62x = 26,911,077,696.93
  5. Step 5: Solve for x
    x = 26,911,077,696.93/189,143.62
  6. Step 6: Final answer
    x = 142,278.54

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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.