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Finding the Fourth Proportional to 218,700, 301,806 and 118,098

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Solution

The fourth proportional to 218,700, 301,806 and 118,098 is: 162,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,700 : 301,806 = 118,098 : x
  2. Step 2: Convert to fraction form
    218,700/301,806 = 118,098/x
  3. Step 3: Cross multiply
    218,700x = 301,806 × 118,098
  4. Step 4: Simplify right side
    218,700x = 35,642,684,988
  5. Step 5: Solve for x
    x = 35,642,684,988/218,700
  6. Step 6: Final answer
    x = 162,975.24

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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.