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Finding the Fourth Proportional to 189,551.44, 284,321.68 and 77,203.88

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Solution

The fourth proportional to 189,551.44, 284,321.68 and 77,203.88 is: 115,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,551.44 : 284,321.68 = 77,203.88 : x
  2. Step 2: Convert to fraction form
    189,551.44/284,321.68 = 77,203.88/x
  3. Step 3: Cross multiply
    189,551.44x = 284,321.68 × 77,203.88
  4. Step 4: Simplify right side
    189,551.44x = 21,950,735,442.51
  5. Step 5: Solve for x
    x = 21,950,735,442.51/189,551.44
  6. Step 6: Final answer
    x = 115,803.58

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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.