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Finding the Fourth Proportional to 192,741.55, 289,022.35 and 72,706.01

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Solution

The fourth proportional to 192,741.55, 289,022.35 and 72,706.01 is: 109,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,741.55 : 289,022.35 = 72,706.01 : x
  2. Step 2: Convert to fraction form
    192,741.55/289,022.35 = 72,706.01/x
  3. Step 3: Cross multiply
    192,741.55x = 289,022.35 × 72,706.01
  4. Step 4: Simplify right side
    192,741.55x = 21,013,661,505.79
  5. Step 5: Solve for x
    x = 21,013,661,505.79/192,741.55
  6. Step 6: Final answer
    x = 109,025.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.