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Finding the Fourth Proportional to 172,287.36, 258,435.90 and 47,628.36

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Solution

The fourth proportional to 172,287.36, 258,435.90 and 47,628.36 is: 71,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287.36 : 258,435.90 = 47,628.36 : x
  2. Step 2: Convert to fraction form
    172,287.36/258,435.90 = 47,628.36/x
  3. Step 3: Cross multiply
    172,287.36x = 258,435.90 × 47,628.36
  4. Step 4: Simplify right side
    172,287.36x = 12,308,878,082.12
  5. Step 5: Solve for x
    x = 12,308,878,082.12/172,287.36
  6. Step 6: Final answer
    x = 71,443.88

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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.