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Finding the Fourth Proportional to 260,083.84, 390,238.44 and 91,724.48

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Solution

The fourth proportional to 260,083.84, 390,238.44 and 91,724.48 is: 137,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083.84 : 390,238.44 = 91,724.48 : x
  2. Step 2: Convert to fraction form
    260,083.84/390,238.44 = 91,724.48/x
  3. Step 3: Cross multiply
    260,083.84x = 390,238.44 × 91,724.48
  4. Step 4: Simplify right side
    260,083.84x = 35,794,417,985.01
  5. Step 5: Solve for x
    x = 35,794,417,985.01/260,083.84
  6. Step 6: Final answer
    x = 137,626.46

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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.