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Finding the Fourth Proportional to 76,102.11, 105,021.04 and 42,112.03

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Solution

The fourth proportional to 76,102.11, 105,021.04 and 42,112.03 is: 58,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.11 : 105,021.04 = 42,112.03 : x
  2. Step 2: Convert to fraction form
    76,102.11/105,021.04 = 42,112.03/x
  3. Step 3: Cross multiply
    76,102.11x = 105,021.04 × 42,112.03
  4. Step 4: Simplify right side
    76,102.11x = 4,422,648,819.28
  5. Step 5: Solve for x
    x = 4,422,648,819.28/76,102.11
  6. Step 6: Final answer
    x = 58,114.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.