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Finding the Fourth Proportional to 104,142, 143,785.08 and 64,467.12

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Solution

The fourth proportional to 104,142, 143,785.08 and 64,467.12 is: 89,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,142 : 143,785.08 = 64,467.12 : x
  2. Step 2: Convert to fraction form
    104,142/143,785.08 = 64,467.12/x
  3. Step 3: Cross multiply
    104,142x = 143,785.08 × 64,467.12
  4. Step 4: Simplify right side
    104,142x = 9,269,410,006.57
  5. Step 5: Solve for x
    x = 9,269,410,006.57/104,142
  6. Step 6: Final answer
    x = 89,007.41

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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.