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Finding the Fourth Proportional to 189,483.88, 284,397.94 and 100,811.56

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Solution

The fourth proportional to 189,483.88, 284,397.94 and 100,811.56 is: 151,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,483.88 : 284,397.94 = 100,811.56 : x
  2. Step 2: Convert to fraction form
    189,483.88/284,397.94 = 100,811.56/x
  3. Step 3: Cross multiply
    189,483.88x = 284,397.94 × 100,811.56
  4. Step 4: Simplify right side
    189,483.88x = 28,670,599,992.19
  5. Step 5: Solve for x
    x = 28,670,599,992.19/189,483.88
  6. Step 6: Final answer
    x = 151,308.91

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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.