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Finding the Fourth Proportional to 189,388.48, 284,191.26 and 77,047.96

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Solution

The fourth proportional to 189,388.48, 284,191.26 and 77,047.96 is: 115,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,388.48 : 284,191.26 = 77,047.96 : x
  2. Step 2: Convert to fraction form
    189,388.48/284,191.26 = 77,047.96/x
  3. Step 3: Cross multiply
    189,388.48x = 284,191.26 × 77,047.96
  4. Step 4: Simplify right side
    189,388.48x = 21,896,356,832.83
  5. Step 5: Solve for x
    x = 21,896,356,832.83/189,388.48
  6. Step 6: Final answer
    x = 115,616.10

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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.