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Finding the Fourth Proportional to 260,099.55, 390,143.84 and 119,858.18

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Solution

The fourth proportional to 260,099.55, 390,143.84 and 119,858.18 is: 179,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,099.55 : 390,143.84 = 119,858.18 : x
  2. Step 2: Convert to fraction form
    260,099.55/390,143.84 = 119,858.18/x
  3. Step 3: Cross multiply
    260,099.55x = 390,143.84 × 119,858.18
  4. Step 4: Simplify right side
    260,099.55x = 46,761,928,050.60
  5. Step 5: Solve for x
    x = 46,761,928,050.60/260,099.55
  6. Step 6: Final answer
    x = 179,784.73

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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.