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Finding the Fourth Proportional to 218,819, 301,970.22 and 118,217

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Solution

The fourth proportional to 218,819, 301,970.22 and 118,217 is: 163,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,819 : 301,970.22 = 118,217 : x
  2. Step 2: Convert to fraction form
    218,819/301,970.22 = 118,217/x
  3. Step 3: Cross multiply
    218,819x = 301,970.22 × 118,217
  4. Step 4: Simplify right side
    218,819x = 35,698,013,497.74
  5. Step 5: Solve for x
    x = 35,698,013,497.74/218,819
  6. Step 6: Final answer
    x = 163,139.46

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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.