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Finding the Fourth Proportional to 218,965.80, 302,172.89 and 118,363.80

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Solution

The fourth proportional to 218,965.80, 302,172.89 and 118,363.80 is: 163,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,965.80 : 302,172.89 = 118,363.80 : x
  2. Step 2: Convert to fraction form
    218,965.80/302,172.89 = 118,363.80/x
  3. Step 3: Cross multiply
    218,965.80x = 302,172.89 × 118,363.80
  4. Step 4: Simplify right side
    218,965.80x = 35,766,330,925.56
  5. Step 5: Solve for x
    x = 35,766,330,925.56/218,965.80
  6. Step 6: Final answer
    x = 163,342.09

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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.