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Finding the Fourth Proportional to 189,409.39, 261,386.39 and 103,369.03

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Solution

The fourth proportional to 189,409.39, 261,386.39 and 103,369.03 is: 142,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,409.39 : 261,386.39 = 103,369.03 : x
  2. Step 2: Convert to fraction form
    189,409.39/261,386.39 = 103,369.03/x
  3. Step 3: Cross multiply
    189,409.39x = 261,386.39 × 103,369.03
  4. Step 4: Simplify right side
    189,409.39x = 27,019,257,194.46
  5. Step 5: Solve for x
    x = 27,019,257,194.46/189,409.39
  6. Step 6: Final answer
    x = 142,650.04

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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.