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Finding the Fourth Proportional to 189,354.56, 283,960.96 and 81,270.28

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Solution

The fourth proportional to 189,354.56, 283,960.96 and 81,270.28 is: 121,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,354.56 : 283,960.96 = 81,270.28 : x
  2. Step 2: Convert to fraction form
    189,354.56/283,960.96 = 81,270.28/x
  3. Step 3: Cross multiply
    189,354.56x = 283,960.96 × 81,270.28
  4. Step 4: Simplify right side
    189,354.56x = 23,077,586,728.27
  5. Step 5: Solve for x
    x = 23,077,586,728.27/189,354.56
  6. Step 6: Final answer
    x = 121,875.00

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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.