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Finding the Fourth Proportional to 218,898.32, 302,080.02 and 118,296.32

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Solution

The fourth proportional to 218,898.32, 302,080.02 and 118,296.32 is: 163,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,898.32 : 302,080.02 = 118,296.32 : x
  2. Step 2: Convert to fraction form
    218,898.32/302,080.02 = 118,296.32/x
  3. Step 3: Cross multiply
    218,898.32x = 302,080.02 × 118,296.32
  4. Step 4: Simplify right side
    218,898.32x = 35,734,954,711.53
  5. Step 5: Solve for x
    x = 35,734,954,711.53/218,898.32
  6. Step 6: Final answer
    x = 163,249.10

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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.