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Finding the Fourth Proportional to 74,319.56, 111,431.91 and 48,989.84

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Solution

The fourth proportional to 74,319.56, 111,431.91 and 48,989.84 is: 73,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,319.56 : 111,431.91 = 48,989.84 : x
  2. Step 2: Convert to fraction form
    74,319.56/111,431.91 = 48,989.84/x
  3. Step 3: Cross multiply
    74,319.56x = 111,431.91 × 48,989.84
  4. Step 4: Simplify right side
    74,319.56x = 5,459,031,441.79
  5. Step 5: Solve for x
    x = 5,459,031,441.79/74,319.56
  6. Step 6: Final answer
    x = 73,453.50

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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.