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Finding the Fourth Proportional to 218,094.84, 300,969.18 and 121,299.57

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Solution

The fourth proportional to 218,094.84, 300,969.18 and 121,299.57 is: 167,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,094.84 : 300,969.18 = 121,299.57 : x
  2. Step 2: Convert to fraction form
    218,094.84/300,969.18 = 121,299.57/x
  3. Step 3: Cross multiply
    218,094.84x = 300,969.18 × 121,299.57
  4. Step 4: Simplify right side
    218,094.84x = 36,507,432,117.25
  5. Step 5: Solve for x
    x = 36,507,432,117.25/218,094.84
  6. Step 6: Final answer
    x = 167,392.46

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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.