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Finding the Fourth Proportional to 133,205.77, 183,818.51 and 72,778.51

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Solution

The fourth proportional to 133,205.77, 183,818.51 and 72,778.51 is: 100,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.77 : 183,818.51 = 72,778.51 : x
  2. Step 2: Convert to fraction form
    133,205.77/183,818.51 = 72,778.51/x
  3. Step 3: Cross multiply
    133,205.77x = 183,818.51 × 72,778.51
  4. Step 4: Simplify right side
    133,205.77x = 13,378,037,299.41
  5. Step 5: Solve for x
    x = 13,378,037,299.41/133,205.77
  6. Step 6: Final answer
    x = 100,431.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.