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Finding the Fourth Proportional to 145,171.56, 217,765.44 and 45,345.60

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Solution

The fourth proportional to 145,171.56, 217,765.44 and 45,345.60 is: 68,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,171.56 : 217,765.44 = 45,345.60 : x
  2. Step 2: Convert to fraction form
    145,171.56/217,765.44 = 45,345.60/x
  3. Step 3: Cross multiply
    145,171.56x = 217,765.44 × 45,345.60
  4. Step 4: Simplify right side
    145,171.56x = 9,874,704,536.06
  5. Step 5: Solve for x
    x = 9,874,704,536.06/145,171.56
  6. Step 6: Final answer
    x = 68,020.93

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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.