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Finding the Fourth Proportional to 27,842,978.20, 41,731,289.70 and 11,668,898.20

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Solution

The fourth proportional to 27,842,978.20, 41,731,289.70 and 11,668,898.20 is: 17,489,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842,978.20 : 41,731,289.70 = 11,668,898.20 : x
  2. Step 2: Convert to fraction form
    27,842,978.20/41,731,289.70 = 11,668,898.20/x
  3. Step 3: Cross multiply
    27,842,978.20x = 41,731,289.70 × 11,668,898.20
  4. Step 4: Simplify right side
    27,842,978.20x = 486,958,171,264,008.56
  5. Step 5: Solve for x
    x = 486,958,171,264,008.56/27,842,978.20
  6. Step 6: Final answer
    x = 17,489,442.68

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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.