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Finding the Fourth Proportional to 217,333.12, 325,790.40 and 118,768

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Solution

The fourth proportional to 217,333.12, 325,790.40 and 118,768 is: 178,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,333.12 : 325,790.40 = 118,768 : x
  2. Step 2: Convert to fraction form
    217,333.12/325,790.40 = 118,768/x
  3. Step 3: Cross multiply
    217,333.12x = 325,790.40 × 118,768
  4. Step 4: Simplify right side
    217,333.12x = 38,693,474,227.20
  5. Step 5: Solve for x
    x = 38,693,474,227.20/217,333.12
  6. Step 6: Final answer
    x = 178,037.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.