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Finding the Fourth Proportional to 102,708.30, 154,321.65 and 65,286.30

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Solution

The fourth proportional to 102,708.30, 154,321.65 and 65,286.30 is: 98,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.30 : 154,321.65 = 65,286.30 : x
  2. Step 2: Convert to fraction form
    102,708.30/154,321.65 = 65,286.30/x
  3. Step 3: Cross multiply
    102,708.30x = 154,321.65 × 65,286.30
  4. Step 4: Simplify right side
    102,708.30x = 10,075,089,538.40
  5. Step 5: Solve for x
    x = 10,075,089,538.40/102,708.30
  6. Step 6: Final answer
    x = 98,094.21

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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.