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Finding the Fourth Proportional to 103,205.77, 154,852.49 and 56,403.97

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Solution

The fourth proportional to 103,205.77, 154,852.49 and 56,403.97 is: 84,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.77 : 154,852.49 = 56,403.97 : x
  2. Step 2: Convert to fraction form
    103,205.77/154,852.49 = 56,403.97/x
  3. Step 3: Cross multiply
    103,205.77x = 154,852.49 × 56,403.97
  4. Step 4: Simplify right side
    103,205.77x = 8,734,295,200.39
  5. Step 5: Solve for x
    x = 8,734,295,200.39/103,205.77
  6. Step 6: Final answer
    x = 84,629.91

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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.