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Finding the Fourth Proportional to 189,814.56, 284,832 and 77,477.28

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Solution

The fourth proportional to 189,814.56, 284,832 and 77,477.28 is: 116,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,814.56 : 284,832 = 77,477.28 : x
  2. Step 2: Convert to fraction form
    189,814.56/284,832 = 77,477.28/x
  3. Step 3: Cross multiply
    189,814.56x = 284,832 × 77,477.28
  4. Step 4: Simplify right side
    189,814.56x = 22,068,008,616.96
  5. Step 5: Solve for x
    x = 22,068,008,616.96/189,814.56
  6. Step 6: Final answer
    x = 116,260.88

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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.