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Finding the Fourth Proportional to 13,940,643.20, 20,912,001.60 and 4,964,028.80

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Solution

The fourth proportional to 13,940,643.20, 20,912,001.60 and 4,964,028.80 is: 7,446,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940,643.20 : 20,912,001.60 = 4,964,028.80 : x
  2. Step 2: Convert to fraction form
    13,940,643.20/20,912,001.60 = 4,964,028.80/x
  3. Step 3: Cross multiply
    13,940,643.20x = 20,912,001.60 × 4,964,028.80
  4. Step 4: Simplify right side
    13,940,643.20x = 103,807,778,208,046.08
  5. Step 5: Solve for x
    x = 103,807,778,208,046.08/13,940,643.20
  6. Step 6: Final answer
    x = 7,446,412.39

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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.