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Finding the Fourth Proportional to 130,590, 180,231.21 and 76,879.98

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Solution

The fourth proportional to 130,590, 180,231.21 and 76,879.98 is: 106,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,590 : 180,231.21 = 76,879.98 : x
  2. Step 2: Convert to fraction form
    130,590/180,231.21 = 76,879.98/x
  3. Step 3: Cross multiply
    130,590x = 180,231.21 × 76,879.98
  4. Step 4: Simplify right side
    130,590x = 13,856,171,820.18
  5. Step 5: Solve for x
    x = 13,856,171,820.18/130,590
  6. Step 6: Final answer
    x = 106,104.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.