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Finding the Fourth Proportional to 103,255.76, 154,889.40 and 29,378

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Solution

The fourth proportional to 103,255.76, 154,889.40 and 29,378 is: 44,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,255.76 : 154,889.40 = 29,378 : x
  2. Step 2: Convert to fraction form
    103,255.76/154,889.40 = 29,378/x
  3. Step 3: Cross multiply
    103,255.76x = 154,889.40 × 29,378
  4. Step 4: Simplify right side
    103,255.76x = 4,550,340,793.20
  5. Step 5: Solve for x
    x = 4,550,340,793.20/103,255.76
  6. Step 6: Final answer
    x = 44,068.64

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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.