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Finding the Fourth Proportional to 189,055.71, 260,894.79 and 107,383.41

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Solution

The fourth proportional to 189,055.71, 260,894.79 and 107,383.41 is: 148,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,055.71 : 260,894.79 = 107,383.41 : x
  2. Step 2: Convert to fraction form
    189,055.71/260,894.79 = 107,383.41/x
  3. Step 3: Cross multiply
    189,055.71x = 260,894.79 × 107,383.41
  4. Step 4: Simplify right side
    189,055.71x = 28,015,772,201.43
  5. Step 5: Solve for x
    x = 28,015,772,201.43/189,055.71
  6. Step 6: Final answer
    x = 148,187.92

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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.