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Finding the Fourth Proportional to 205,058.80, 307,636.80 and 105,234.40

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Solution

The fourth proportional to 205,058.80, 307,636.80 and 105,234.40 is: 157,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,058.80 : 307,636.80 = 105,234.40 : x
  2. Step 2: Convert to fraction form
    205,058.80/307,636.80 = 105,234.40/x
  3. Step 3: Cross multiply
    205,058.80x = 307,636.80 × 105,234.40
  4. Step 4: Simplify right side
    205,058.80x = 32,373,974,065.92
  5. Step 5: Solve for x
    x = 32,373,974,065.92/205,058.80
  6. Step 6: Final answer
    x = 157,876.54

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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.