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Finding the Fourth Proportional to 189,706.75, 261,792.06 and 103,663.81

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Solution

The fourth proportional to 189,706.75, 261,792.06 and 103,663.81 is: 143,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,706.75 : 261,792.06 = 103,663.81 : x
  2. Step 2: Convert to fraction form
    189,706.75/261,792.06 = 103,663.81/x
  3. Step 3: Cross multiply
    189,706.75x = 261,792.06 × 103,663.81
  4. Step 4: Simplify right side
    189,706.75x = 27,138,362,367.35
  5. Step 5: Solve for x
    x = 27,138,362,367.35/189,706.75
  6. Step 6: Final answer
    x = 143,054.28

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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.