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Finding the Fourth Proportional to 188,295.37, 259,849.65 and 103,412.42

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Solution

The fourth proportional to 188,295.37, 259,849.65 and 103,412.42 is: 142,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,295.37 : 259,849.65 = 103,412.42 : x
  2. Step 2: Convert to fraction form
    188,295.37/259,849.65 = 103,412.42/x
  3. Step 3: Cross multiply
    188,295.37x = 259,849.65 × 103,412.42
  4. Step 4: Simplify right side
    188,295.37x = 26,871,681,142.65
  5. Step 5: Solve for x
    x = 26,871,681,142.65/188,295.37
  6. Step 6: Final answer
    x = 142,710.26

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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.