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Finding the Fourth Proportional to 189,969.84, 262,157.31 and 105,085.08

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Solution

The fourth proportional to 189,969.84, 262,157.31 and 105,085.08 is: 145,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,969.84 : 262,157.31 = 105,085.08 : x
  2. Step 2: Convert to fraction form
    189,969.84/262,157.31 = 105,085.08/x
  3. Step 3: Cross multiply
    189,969.84x = 262,157.31 × 105,085.08
  4. Step 4: Simplify right side
    189,969.84x = 27,548,821,893.93
  5. Step 5: Solve for x
    x = 27,548,821,893.93/189,969.84
  6. Step 6: Final answer
    x = 145,016.82

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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.