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Finding the Fourth Proportional to 205,831.80, 308,770.38 and 65,558.16

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Solution

The fourth proportional to 205,831.80, 308,770.38 and 65,558.16 is: 98,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,831.80 : 308,770.38 = 65,558.16 : x
  2. Step 2: Convert to fraction form
    205,831.80/308,770.38 = 65,558.16/x
  3. Step 3: Cross multiply
    205,831.80x = 308,770.38 × 65,558.16
  4. Step 4: Simplify right side
    205,831.80x = 20,242,417,975.30
  5. Step 5: Solve for x
    x = 20,242,417,975.30/205,831.80
  6. Step 6: Final answer
    x = 98,344.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.