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Finding the Fourth Proportional to 188,315.28, 259,878.78 and 103,437

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Solution

The fourth proportional to 188,315.28, 259,878.78 and 103,437 is: 142,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,315.28 : 259,878.78 = 103,437 : x
  2. Step 2: Convert to fraction form
    188,315.28/259,878.78 = 103,437/x
  3. Step 3: Cross multiply
    188,315.28x = 259,878.78 × 103,437
  4. Step 4: Simplify right side
    188,315.28x = 26,881,081,366.86
  5. Step 5: Solve for x
    x = 26,881,081,366.86/188,315.28
  6. Step 6: Final answer
    x = 142,745.09

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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.