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Finding the Fourth Proportional to 105,478, 158,255.92 and 55,556.08

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Solution

The fourth proportional to 105,478, 158,255.92 and 55,556.08 is: 83,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,478 : 158,255.92 = 55,556.08 : x
  2. Step 2: Convert to fraction form
    105,478/158,255.92 = 55,556.08/x
  3. Step 3: Cross multiply
    105,478x = 158,255.92 × 55,556.08
  4. Step 4: Simplify right side
    105,478x = 8,792,078,551.99
  5. Step 5: Solve for x
    x = 8,792,078,551.99/105,478
  6. Step 6: Final answer
    x = 83,354.62

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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.