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Finding the Fourth Proportional to 100,651,821.86, 150,994,757.66 and 51,489,019.88

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Solution

The fourth proportional to 100,651,821.86, 150,994,757.66 and 51,489,019.88 is: 77,242,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651,821.86 : 150,994,757.66 = 51,489,019.88 : x
  2. Step 2: Convert to fraction form
    100,651,821.86/150,994,757.66 = 51,489,019.88/x
  3. Step 3: Cross multiply
    100,651,821.86x = 150,994,757.66 × 51,489,019.88
  4. Step 4: Simplify right side
    100,651,821.86x = 7,774,572,077,919,103
  5. Step 5: Solve for x
    x = 7,774,572,077,919,103/100,651,821.86
  6. Step 6: Final answer
    x = 77,242,238.98

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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.