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Finding the Fourth Proportional to 114,485.56, 157,824.18 and 80,390.20

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Solution

The fourth proportional to 114,485.56, 157,824.18 and 80,390.20 is: 110,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,485.56 : 157,824.18 = 80,390.20 : x
  2. Step 2: Convert to fraction form
    114,485.56/157,824.18 = 80,390.20/x
  3. Step 3: Cross multiply
    114,485.56x = 157,824.18 × 80,390.20
  4. Step 4: Simplify right side
    114,485.56x = 12,687,517,395.04
  5. Step 5: Solve for x
    x = 12,687,517,395.04/114,485.56
  6. Step 6: Final answer
    x = 110,821.99

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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.