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Finding the Fourth Proportional to 188,898, 260,673.12 and 104,012.88

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Solution

The fourth proportional to 188,898, 260,673.12 and 104,012.88 is: 143,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,898 : 260,673.12 = 104,012.88 : x
  2. Step 2: Convert to fraction form
    188,898/260,673.12 = 104,012.88/x
  3. Step 3: Cross multiply
    188,898x = 260,673.12 × 104,012.88
  4. Step 4: Simplify right side
    188,898x = 27,113,361,949.79
  5. Step 5: Solve for x
    x = 27,113,361,949.79/188,898
  6. Step 6: Final answer
    x = 143,534.40

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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.