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Finding the Fourth Proportional to 299,137.31, 448,705.74 and 88,775.25

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Solution

The fourth proportional to 299,137.31, 448,705.74 and 88,775.25 is: 133,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,137.31 : 448,705.74 = 88,775.25 : x
  2. Step 2: Convert to fraction form
    299,137.31/448,705.74 = 88,775.25/x
  3. Step 3: Cross multiply
    299,137.31x = 448,705.74 × 88,775.25
  4. Step 4: Simplify right side
    299,137.31x = 39,833,964,244.94
  5. Step 5: Solve for x
    x = 39,833,964,244.94/299,137.31
  6. Step 6: Final answer
    x = 133,162.81

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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.