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Finding the Fourth Proportional to 260,422.14, 390,664.44 and 91,907.64

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Solution

The fourth proportional to 260,422.14, 390,664.44 and 91,907.64 is: 137,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,422.14 : 390,664.44 = 91,907.64 : x
  2. Step 2: Convert to fraction form
    260,422.14/390,664.44 = 91,907.64/x
  3. Step 3: Cross multiply
    260,422.14x = 390,664.44 × 91,907.64
  4. Step 4: Simplify right side
    260,422.14x = 35,905,046,712.32
  5. Step 5: Solve for x
    x = 35,905,046,712.32/260,422.14
  6. Step 6: Final answer
    x = 137,872.48

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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.