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Finding the Fourth Proportional to 189,102.86, 283,703.50 and 70,783.34

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Solution

The fourth proportional to 189,102.86, 283,703.50 and 70,783.34 is: 106,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,102.86 : 283,703.50 = 70,783.34 : x
  2. Step 2: Convert to fraction form
    189,102.86/283,703.50 = 70,783.34/x
  3. Step 3: Cross multiply
    189,102.86x = 283,703.50 × 70,783.34
  4. Step 4: Simplify right side
    189,102.86x = 20,081,481,299.69
  5. Step 5: Solve for x
    x = 20,081,481,299.69/189,102.86
  6. Step 6: Final answer
    x = 106,193.43

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1.5x scale

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.