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Finding the Fourth Proportional to 189,923.96, 262,083.93 and 105,035.42

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Solution

The fourth proportional to 189,923.96, 262,083.93 and 105,035.42 is: 144,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,923.96 : 262,083.93 = 105,035.42 : x
  2. Step 2: Convert to fraction form
    189,923.96/262,083.93 = 105,035.42/x
  3. Step 3: Cross multiply
    189,923.96x = 262,083.93 × 105,035.42
  4. Step 4: Simplify right side
    189,923.96x = 27,528,095,662.80
  5. Step 5: Solve for x
    x = 27,528,095,662.80/189,923.96
  6. Step 6: Final answer
    x = 144,942.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.