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Finding the Fourth Proportional to 84,094.34, 126,168.71 and 50,355

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Solution

The fourth proportional to 84,094.34, 126,168.71 and 50,355 is: 75,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,094.34 : 126,168.71 = 50,355 : x
  2. Step 2: Convert to fraction form
    84,094.34/126,168.71 = 50,355/x
  3. Step 3: Cross multiply
    84,094.34x = 126,168.71 × 50,355
  4. Step 4: Simplify right side
    84,094.34x = 6,353,225,140.28
  5. Step 5: Solve for x
    x = 6,353,225,140.28/84,094.34
  6. Step 6: Final answer
    x = 75,548.79

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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.