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Finding the Fourth Proportional to 81,978,920.51, 122,989,939.48 and 29,461,893.24

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Solution

The fourth proportional to 81,978,920.51, 122,989,939.48 and 29,461,893.24 is: 44,200,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978,920.51 : 122,989,939.48 = 29,461,893.24 : x
  2. Step 2: Convert to fraction form
    81,978,920.51/122,989,939.48 = 29,461,893.24/x
  3. Step 3: Cross multiply
    81,978,920.51x = 122,989,939.48 × 29,461,893.24
  4. Step 4: Simplify right side
    81,978,920.51x = 3,623,516,467,051,860.50
  5. Step 5: Solve for x
    x = 3,623,516,467,051,860.50/81,978,920.51
  6. Step 6: Final answer
    x = 44,200,587.72

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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.