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Finding the Fourth Proportional to 218,724, 301,839.18 and 118,122

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Solution

The fourth proportional to 218,724, 301,839.18 and 118,122 is: 163,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,724 : 301,839.18 = 118,122 : x
  2. Step 2: Convert to fraction form
    218,724/301,839.18 = 118,122/x
  3. Step 3: Cross multiply
    218,724x = 301,839.18 × 118,122
  4. Step 4: Simplify right side
    218,724x = 35,653,847,619.96
  5. Step 5: Solve for x
    x = 35,653,847,619.96/218,724
  6. Step 6: Final answer
    x = 163,008.39

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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.