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Finding the Fourth Proportional to 189,462.62, 284,089.44 and 77,114

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Solution

The fourth proportional to 189,462.62, 284,089.44 and 77,114 is: 115,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,462.62 : 284,089.44 = 77,114 : x
  2. Step 2: Convert to fraction form
    189,462.62/284,089.44 = 77,114/x
  3. Step 3: Cross multiply
    189,462.62x = 284,089.44 × 77,114
  4. Step 4: Simplify right side
    189,462.62x = 21,907,273,076.16
  5. Step 5: Solve for x
    x = 21,907,273,076.16/189,462.62
  6. Step 6: Final answer
    x = 115,628.47

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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.