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Finding the Fourth Proportional to 218,718, 301,830.84 and 118,116

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Solution

The fourth proportional to 218,718, 301,830.84 and 118,116 is: 163,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718 : 301,830.84 = 118,116 : x
  2. Step 2: Convert to fraction form
    218,718/301,830.84 = 118,116/x
  3. Step 3: Cross multiply
    218,718x = 301,830.84 × 118,116
  4. Step 4: Simplify right side
    218,718x = 35,651,051,497.44
  5. Step 5: Solve for x
    x = 35,651,051,497.44/218,718
  6. Step 6: Final answer
    x = 163,000.08

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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.