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Finding the Fourth Proportional to 218,698.32, 301,804.74 and 123,206.52

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Solution

The fourth proportional to 218,698.32, 301,804.74 and 123,206.52 is: 170,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,698.32 : 301,804.74 = 123,206.52 : x
  2. Step 2: Convert to fraction form
    218,698.32/301,804.74 = 123,206.52/x
  3. Step 3: Cross multiply
    218,698.32x = 301,804.74 × 123,206.52
  4. Step 4: Simplify right side
    218,698.32x = 37,184,311,734.90
  5. Step 5: Solve for x
    x = 37,184,311,734.90/218,698.32
  6. Step 6: Final answer
    x = 170,025.59

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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.