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Finding the Fourth Proportional to 189,707.19, 261,792.81 and 103,664.31

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Solution

The fourth proportional to 189,707.19, 261,792.81 and 103,664.31 is: 143,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,707.19 : 261,792.81 = 103,664.31 : x
  2. Step 2: Convert to fraction form
    189,707.19/261,792.81 = 103,664.31/x
  3. Step 3: Cross multiply
    189,707.19x = 261,792.81 × 103,664.31
  4. Step 4: Simplify right side
    189,707.19x = 27,138,571,011.61
  5. Step 5: Solve for x
    x = 27,138,571,011.61/189,707.19
  6. Step 6: Final answer
    x = 143,055.05

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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.