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Finding the Fourth Proportional to 147,408, 221,146.56 and 48,912

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Solution

The fourth proportional to 147,408, 221,146.56 and 48,912 is: 73,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,408 : 221,146.56 = 48,912 : x
  2. Step 2: Convert to fraction form
    147,408/221,146.56 = 48,912/x
  3. Step 3: Cross multiply
    147,408x = 221,146.56 × 48,912
  4. Step 4: Simplify right side
    147,408x = 10,816,720,542.72
  5. Step 5: Solve for x
    x = 10,816,720,542.72/147,408
  6. Step 6: Final answer
    x = 73,379.47

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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.