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Finding the Fourth Proportional to 145,408.81, 218,112.87 and 45,576.61

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Solution

The fourth proportional to 145,408.81, 218,112.87 and 45,576.61 is: 68,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408.81 : 218,112.87 = 45,576.61 : x
  2. Step 2: Convert to fraction form
    145,408.81/218,112.87 = 45,576.61/x
  3. Step 3: Cross multiply
    145,408.81x = 218,112.87 × 45,576.61
  4. Step 4: Simplify right side
    145,408.81x = 9,940,845,211.97
  5. Step 5: Solve for x
    x = 9,940,845,211.97/145,408.81
  6. Step 6: Final answer
    x = 68,364.81

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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.