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Finding the Fourth Proportional to 272,058.72, 408,018.96 and 105,756

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Solution

The fourth proportional to 272,058.72, 408,018.96 and 105,756 is: 158,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,058.72 : 408,018.96 = 105,756 : x
  2. Step 2: Convert to fraction form
    272,058.72/408,018.96 = 105,756/x
  3. Step 3: Cross multiply
    272,058.72x = 408,018.96 × 105,756
  4. Step 4: Simplify right side
    272,058.72x = 43,150,453,133.76
  5. Step 5: Solve for x
    x = 43,150,453,133.76/272,058.72
  6. Step 6: Final answer
    x = 158,607.13

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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.