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Finding the Fourth Proportional to 150,980.74, 208,383.63 and 115,106.68

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Solution

The fourth proportional to 150,980.74, 208,383.63 and 115,106.68 is: 158,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,980.74 : 208,383.63 = 115,106.68 : x
  2. Step 2: Convert to fraction form
    150,980.74/208,383.63 = 115,106.68/x
  3. Step 3: Cross multiply
    150,980.74x = 208,383.63 × 115,106.68
  4. Step 4: Simplify right side
    150,980.74x = 23,986,347,815.65
  5. Step 5: Solve for x
    x = 23,986,347,815.65/150,980.74
  6. Step 6: Final answer
    x = 158,870.25

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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.