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Finding the Fourth Proportional to 257,907.49, 386,863.76 and 77,994.34

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Solution

The fourth proportional to 257,907.49, 386,863.76 and 77,994.34 is: 116,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,907.49 : 386,863.76 = 77,994.34 : x
  2. Step 2: Convert to fraction form
    257,907.49/386,863.76 = 77,994.34/x
  3. Step 3: Cross multiply
    257,907.49x = 386,863.76 × 77,994.34
  4. Step 4: Simplify right side
    257,907.49x = 30,173,182,858.94
  5. Step 5: Solve for x
    x = 30,173,182,858.94/257,907.49
  6. Step 6: Final answer
    x = 116,992.27

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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.