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Finding the Fourth Proportional to 218,178.20, 300,955.36 and 133,147.64

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Solution

The fourth proportional to 218,178.20, 300,955.36 and 133,147.64 is: 183,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,178.20 : 300,955.36 = 133,147.64 : x
  2. Step 2: Convert to fraction form
    218,178.20/300,955.36 = 133,147.64/x
  3. Step 3: Cross multiply
    218,178.20x = 300,955.36 × 133,147.64
  4. Step 4: Simplify right side
    218,178.20x = 40,071,495,929.35
  5. Step 5: Solve for x
    x = 40,071,495,929.35/218,178.20
  6. Step 6: Final answer
    x = 183,664.07

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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.