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Finding the Fourth Proportional to 189,051.71, 260,716.01 and 137,983.54

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Solution

The fourth proportional to 189,051.71, 260,716.01 and 137,983.54 is: 190,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,051.71 : 260,716.01 = 137,983.54 : x
  2. Step 2: Convert to fraction form
    189,051.71/260,716.01 = 137,983.54/x
  3. Step 3: Cross multiply
    189,051.71x = 260,716.01 × 137,983.54
  4. Step 4: Simplify right side
    189,051.71x = 35,974,518,665.33
  5. Step 5: Solve for x
    x = 35,974,518,665.33/189,051.71
  6. Step 6: Final answer
    x = 190,289.30

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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.