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Finding the Fourth Proportional to 260,013.82, 390,086.34 and 119,870.86

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Solution

The fourth proportional to 260,013.82, 390,086.34 and 119,870.86 is: 179,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013.82 : 390,086.34 = 119,870.86 : x
  2. Step 2: Convert to fraction form
    260,013.82/390,086.34 = 119,870.86/x
  3. Step 3: Cross multiply
    260,013.82x = 390,086.34 × 119,870.86
  4. Step 4: Simplify right side
    260,013.82x = 46,759,985,050.05
  5. Step 5: Solve for x
    x = 46,759,985,050.05/260,013.82
  6. Step 6: Final answer
    x = 179,836.54

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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.