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Finding the Fourth Proportional to 189,600.72, 284,196.96 and 100,764.72

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Solution

The fourth proportional to 189,600.72, 284,196.96 and 100,764.72 is: 151,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,600.72 : 284,196.96 = 100,764.72 : x
  2. Step 2: Convert to fraction form
    189,600.72/284,196.96 = 100,764.72/x
  3. Step 3: Cross multiply
    189,600.72x = 284,196.96 × 100,764.72
  4. Step 4: Simplify right side
    189,600.72x = 28,637,027,099.25
  5. Step 5: Solve for x
    x = 28,637,027,099.25/189,600.72
  6. Step 6: Final answer
    x = 151,038.60

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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.