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Finding the Fourth Proportional to 103,138.76, 154,708.26 and 28,259.54

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Solution

The fourth proportional to 103,138.76, 154,708.26 and 28,259.54 is: 42,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,138.76 : 154,708.26 = 28,259.54 : x
  2. Step 2: Convert to fraction form
    103,138.76/154,708.26 = 28,259.54/x
  3. Step 3: Cross multiply
    103,138.76x = 154,708.26 × 28,259.54
  4. Step 4: Simplify right side
    103,138.76x = 4,371,984,261.80
  5. Step 5: Solve for x
    x = 4,371,984,261.80/103,138.76
  6. Step 6: Final answer
    x = 42,389.34

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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.