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Finding the Fourth Proportional to 218,818.10, 301,968.74 and 118,216.10

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Solution

The fourth proportional to 218,818.10, 301,968.74 and 118,216.10 is: 163,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,818.10 : 301,968.74 = 118,216.10 : x
  2. Step 2: Convert to fraction form
    218,818.10/301,968.74 = 118,216.10/x
  3. Step 3: Cross multiply
    218,818.10x = 301,968.74 × 118,216.10
  4. Step 4: Simplify right side
    218,818.10x = 35,697,566,173.63
  5. Step 5: Solve for x
    x = 35,697,566,173.63/218,818.10
  6. Step 6: Final answer
    x = 163,138.09

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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.