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Finding the Fourth Proportional to 189,109.75, 283,713.23 and 70,782.79

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Solution

The fourth proportional to 189,109.75, 283,713.23 and 70,782.79 is: 106,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,109.75 : 283,713.23 = 70,782.79 : x
  2. Step 2: Convert to fraction form
    189,109.75/283,713.23 = 70,782.79/x
  3. Step 3: Cross multiply
    189,109.75x = 283,713.23 × 70,782.79
  4. Step 4: Simplify right side
    189,109.75x = 20,082,013,979.31
  5. Step 5: Solve for x
    x = 20,082,013,979.31/189,109.75
  6. Step 6: Final answer
    x = 106,192.38

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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.