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Finding the Fourth Proportional to 218,803.68, 301,944.88 and 123,308.46

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Solution

The fourth proportional to 218,803.68, 301,944.88 and 123,308.46 is: 170,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,803.68 : 301,944.88 = 123,308.46 : x
  2. Step 2: Convert to fraction form
    218,803.68/301,944.88 = 123,308.46/x
  3. Step 3: Cross multiply
    218,803.68x = 301,944.88 × 123,308.46
  4. Step 4: Simplify right side
    218,803.68x = 37,232,358,157.68
  5. Step 5: Solve for x
    x = 37,232,358,157.68/218,803.68
  6. Step 6: Final answer
    x = 170,163.31

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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.