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Finding the Fourth Proportional to 218,817, 301,967.46 and 118,215

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Solution

The fourth proportional to 218,817, 301,967.46 and 118,215 is: 163,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,817 : 301,967.46 = 118,215 : x
  2. Step 2: Convert to fraction form
    218,817/301,967.46 = 118,215/x
  3. Step 3: Cross multiply
    218,817x = 301,967.46 × 118,215
  4. Step 4: Simplify right side
    218,817x = 35,697,083,283.90
  5. Step 5: Solve for x
    x = 35,697,083,283.90/218,817
  6. Step 6: Final answer
    x = 163,136.70

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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.