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Finding the Fourth Proportional to 189,677.34, 284,270.75 and 141,917.72

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Solution

The fourth proportional to 189,677.34, 284,270.75 and 141,917.72 is: 212,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,677.34 : 284,270.75 = 141,917.72 : x
  2. Step 2: Convert to fraction form
    189,677.34/284,270.75 = 141,917.72/x
  3. Step 3: Cross multiply
    189,677.34x = 284,270.75 × 141,917.72
  4. Step 4: Simplify right side
    189,677.34x = 40,343,054,571.75
  5. Step 5: Solve for x
    x = 40,343,054,571.75/189,677.34
  6. Step 6: Final answer
    x = 212,693.06

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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.