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Finding the Fourth Proportional to 81,978,759.47, 122,989,675.79 and 29,461,733.35

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Solution

The fourth proportional to 81,978,759.47, 122,989,675.79 and 29,461,733.35 is: 44,200,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978,759.47 : 122,989,675.79 = 29,461,733.35 : x
  2. Step 2: Convert to fraction form
    81,978,759.47/122,989,675.79 = 29,461,733.35/x
  3. Step 3: Cross multiply
    81,978,759.47x = 122,989,675.79 × 29,461,733.35
  4. Step 4: Simplify right side
    81,978,759.47x = 3,623,489,032,694,111
  5. Step 5: Solve for x
    x = 3,623,489,032,694,111/81,978,759.47
  6. Step 6: Final answer
    x = 44,200,339.89

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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.