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Finding the Fourth Proportional to 188,066.78, 259,549.74 and 107,478.58

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Solution

The fourth proportional to 188,066.78, 259,549.74 and 107,478.58 is: 148,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,066.78 : 259,549.74 = 107,478.58 : x
  2. Step 2: Convert to fraction form
    188,066.78/259,549.74 = 107,478.58/x
  3. Step 3: Cross multiply
    188,066.78x = 259,549.74 × 107,478.58
  4. Step 4: Simplify right side
    188,066.78x = 27,896,037,494.57
  5. Step 5: Solve for x
    x = 27,896,037,494.57/188,066.78
  6. Step 6: Final answer
    x = 148,330.49

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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.