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Finding the Fourth Proportional to 102,888.57, 154,591.25 and 65,464.95

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Solution

The fourth proportional to 102,888.57, 154,591.25 and 65,464.95 is: 98,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,888.57 : 154,591.25 = 65,464.95 : x
  2. Step 2: Convert to fraction form
    102,888.57/154,591.25 = 65,464.95/x
  3. Step 3: Cross multiply
    102,888.57x = 154,591.25 × 65,464.95
  4. Step 4: Simplify right side
    102,888.57x = 10,120,308,124.36
  5. Step 5: Solve for x
    x = 10,120,308,124.36/102,888.57
  6. Step 6: Final answer
    x = 98,361.83

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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.