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Finding the Fourth Proportional to 106,845.40, 147,400.32 and 64,379.80

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Solution

The fourth proportional to 106,845.40, 147,400.32 and 64,379.80 is: 88,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,845.40 : 147,400.32 = 64,379.80 : x
  2. Step 2: Convert to fraction form
    106,845.40/147,400.32 = 64,379.80/x
  3. Step 3: Cross multiply
    106,845.40x = 147,400.32 × 64,379.80
  4. Step 4: Simplify right side
    106,845.40x = 9,489,603,121.54
  5. Step 5: Solve for x
    x = 9,489,603,121.54/106,845.40
  6. Step 6: Final answer
    x = 88,816.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.