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Finding the Fourth Proportional to 189,668.51, 284,317.86 and 75,782.37

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Solution

The fourth proportional to 189,668.51, 284,317.86 and 75,782.37 is: 113,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,668.51 : 284,317.86 = 75,782.37 : x
  2. Step 2: Convert to fraction form
    189,668.51/284,317.86 = 75,782.37/x
  3. Step 3: Cross multiply
    189,668.51x = 284,317.86 × 75,782.37
  4. Step 4: Simplify right side
    189,668.51x = 21,546,281,264.13
  5. Step 5: Solve for x
    x = 21,546,281,264.13/189,668.51
  6. Step 6: Final answer
    x = 113,599.68

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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.