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Finding the Fourth Proportional to 188,015, 259,460.70 and 103,132.26

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Solution

The fourth proportional to 188,015, 259,460.70 and 103,132.26 is: 142,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,015 : 259,460.70 = 103,132.26 : x
  2. Step 2: Convert to fraction form
    188,015/259,460.70 = 103,132.26/x
  3. Step 3: Cross multiply
    188,015x = 259,460.70 × 103,132.26
  4. Step 4: Simplify right side
    188,015x = 26,758,768,372.18
  5. Step 5: Solve for x
    x = 26,758,768,372.18/188,015
  6. Step 6: Final answer
    x = 142,322.52

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1.5x scale

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.