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Finding the Fourth Proportional to 189,737.31, 284,655.15 and 100,917.75

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Solution

The fourth proportional to 189,737.31, 284,655.15 and 100,917.75 is: 151,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,737.31 : 284,655.15 = 100,917.75 : x
  2. Step 2: Convert to fraction form
    189,737.31/284,655.15 = 100,917.75/x
  3. Step 3: Cross multiply
    189,737.31x = 284,655.15 × 100,917.75
  4. Step 4: Simplify right side
    189,737.31x = 28,726,757,263.91
  5. Step 5: Solve for x
    x = 28,726,757,263.91/189,737.31
  6. Step 6: Final answer
    x = 151,402.79

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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.