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Finding the Fourth Proportional to 103,258.77, 154,889.87 and 28,378.46

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Solution

The fourth proportional to 103,258.77, 154,889.87 and 28,378.46 is: 42,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,258.77 : 154,889.87 = 28,378.46 : x
  2. Step 2: Convert to fraction form
    103,258.77/154,889.87 = 28,378.46/x
  3. Step 3: Cross multiply
    103,258.77x = 154,889.87 × 28,378.46
  4. Step 4: Simplify right side
    103,258.77x = 4,395,535,063.86
  5. Step 5: Solve for x
    x = 4,395,535,063.86/103,258.77
  6. Step 6: Final answer
    x = 42,568.15

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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.