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Finding the Fourth Proportional to 234,774, 352,212.84 and 87,030

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Solution

The fourth proportional to 234,774, 352,212.84 and 87,030 is: 130,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,774 : 352,212.84 = 87,030 : x
  2. Step 2: Convert to fraction form
    234,774/352,212.84 = 87,030/x
  3. Step 3: Cross multiply
    234,774x = 352,212.84 × 87,030
  4. Step 4: Simplify right side
    234,774x = 30,653,083,465.20
  5. Step 5: Solve for x
    x = 30,653,083,465.20/234,774
  6. Step 6: Final answer
    x = 130,564.22

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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.