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Finding the Fourth Proportional to 145,431.96, 218,183.04 and 50,648.28

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Solution

The fourth proportional to 145,431.96, 218,183.04 and 50,648.28 is: 75,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,431.96 : 218,183.04 = 50,648.28 : x
  2. Step 2: Convert to fraction form
    145,431.96/218,183.04 = 50,648.28/x
  3. Step 3: Cross multiply
    145,431.96x = 218,183.04 × 50,648.28
  4. Step 4: Simplify right side
    145,431.96x = 11,050,595,701.17
  5. Step 5: Solve for x
    x = 11,050,595,701.17/145,431.96
  6. Step 6: Final answer
    x = 75,984.64

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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.