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Finding the Fourth Proportional to 199,870.48, 275,831.94 and 115,000.48

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Solution

The fourth proportional to 199,870.48, 275,831.94 and 115,000.48 is: 158,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,870.48 : 275,831.94 = 115,000.48 : x
  2. Step 2: Convert to fraction form
    199,870.48/275,831.94 = 115,000.48/x
  3. Step 3: Cross multiply
    199,870.48x = 275,831.94 × 115,000.48
  4. Step 4: Simplify right side
    199,870.48x = 31,720,805,499.33
  5. Step 5: Solve for x
    x = 31,720,805,499.33/199,870.48
  6. Step 6: Final answer
    x = 158,706.81

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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.