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Finding the Fourth Proportional to 209,350.88, 313,907.40 and 142,871.55

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Solution

The fourth proportional to 209,350.88, 313,907.40 and 142,871.55 is: 214,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,350.88 : 313,907.40 = 142,871.55 : x
  2. Step 2: Convert to fraction form
    209,350.88/313,907.40 = 142,871.55/x
  3. Step 3: Cross multiply
    209,350.88x = 313,907.40 × 142,871.55
  4. Step 4: Simplify right side
    209,350.88x = 44,848,435,617.32
  5. Step 5: Solve for x
    x = 44,848,435,617.32/209,350.88
  6. Step 6: Final answer
    x = 214,226.16

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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.