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Finding the Fourth Proportional to 188,298.78, 259,857.66 and 103,421.34

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Solution

The fourth proportional to 188,298.78, 259,857.66 and 103,421.34 is: 142,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,298.78 : 259,857.66 = 103,421.34 : x
  2. Step 2: Convert to fraction form
    188,298.78/259,857.66 = 103,421.34/x
  3. Step 3: Cross multiply
    188,298.78x = 259,857.66 × 103,421.34
  4. Step 4: Simplify right side
    188,298.78x = 26,874,827,406.46
  5. Step 5: Solve for x
    x = 26,874,827,406.46/188,298.78
  6. Step 6: Final answer
    x = 142,724.38

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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.