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Finding the Fourth Proportional to 218,798.63, 301,942.38 and 118,196.63

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Solution

The fourth proportional to 218,798.63, 301,942.38 and 118,196.63 is: 163,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,798.63 : 301,942.38 = 118,196.63 : x
  2. Step 2: Convert to fraction form
    218,798.63/301,942.38 = 118,196.63/x
  3. Step 3: Cross multiply
    218,798.63x = 301,942.38 × 118,196.63
  4. Step 4: Simplify right side
    218,798.63x = 35,688,571,770.18
  5. Step 5: Solve for x
    x = 35,688,571,770.18/218,798.63
  6. Step 6: Final answer
    x = 163,111.50

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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.