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Finding the Fourth Proportional to 105,431.49, 158,155.34 and 30,552.66

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Solution

The fourth proportional to 105,431.49, 158,155.34 and 30,552.66 is: 45,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,431.49 : 158,155.34 = 30,552.66 : x
  2. Step 2: Convert to fraction form
    105,431.49/158,155.34 = 30,552.66/x
  3. Step 3: Cross multiply
    105,431.49x = 158,155.34 × 30,552.66
  4. Step 4: Simplify right side
    105,431.49x = 4,832,066,177.44
  5. Step 5: Solve for x
    x = 4,832,066,177.44/105,431.49
  6. Step 6: Final answer
    x = 45,831.34

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