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Finding the Fourth Proportional to 27,978,235.60, 41,954,911.80 and 12,836,808.40

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Solution

The fourth proportional to 27,978,235.60, 41,954,911.80 and 12,836,808.40 is: 19,249,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978,235.60 : 41,954,911.80 = 12,836,808.40 : x
  2. Step 2: Convert to fraction form
    27,978,235.60/41,954,911.80 = 12,836,808.40/x
  3. Step 3: Cross multiply
    27,978,235.60x = 41,954,911.80 × 12,836,808.40
  4. Step 4: Simplify right side
    27,978,235.60x = 538,567,164,215,499.12
  5. Step 5: Solve for x
    x = 538,567,164,215,499.12/27,978,235.60
  6. Step 6: Final answer
    x = 19,249,504.22

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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.