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Finding the Fourth Proportional to 180,130.16, 248,680.86 and 119,783

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Solution

The fourth proportional to 180,130.16, 248,680.86 and 119,783 is: 165,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,130.16 : 248,680.86 = 119,783 : x
  2. Step 2: Convert to fraction form
    180,130.16/248,680.86 = 119,783/x
  3. Step 3: Cross multiply
    180,130.16x = 248,680.86 × 119,783
  4. Step 4: Simplify right side
    180,130.16x = 29,787,739,453.38
  5. Step 5: Solve for x
    x = 29,787,739,453.38/180,130.16
  6. Step 6: Final answer
    x = 165,367.86

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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.