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Finding the Fourth Proportional to 189,868, 284,615.70 and 105,668.50

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Solution

The fourth proportional to 189,868, 284,615.70 and 105,668.50 is: 158,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,868 : 284,615.70 = 105,668.50 : x
  2. Step 2: Convert to fraction form
    189,868/284,615.70 = 105,668.50/x
  3. Step 3: Cross multiply
    189,868x = 284,615.70 × 105,668.50
  4. Step 4: Simplify right side
    189,868x = 30,074,914,095.45
  5. Step 5: Solve for x
    x = 30,074,914,095.45/189,868
  6. Step 6: Final answer
    x = 158,399.07

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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.