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Finding the Fourth Proportional to 189,725.70, 284,916.60 and 101,152.20

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Solution

The fourth proportional to 189,725.70, 284,916.60 and 101,152.20 is: 151,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,725.70 : 284,916.60 = 101,152.20 : x
  2. Step 2: Convert to fraction form
    189,725.70/284,916.60 = 101,152.20/x
  3. Step 3: Cross multiply
    189,725.70x = 284,916.60 × 101,152.20
  4. Step 4: Simplify right side
    189,725.70x = 28,819,940,906.52
  5. Step 5: Solve for x
    x = 28,819,940,906.52/189,725.70
  6. Step 6: Final answer
    x = 151,903.20

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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.