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Finding the Fourth Proportional to 78,141.94, 117,212.81 and 18,977.51

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Solution

The fourth proportional to 78,141.94, 117,212.81 and 18,977.51 is: 28,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,141.94 : 117,212.81 = 18,977.51 : x
  2. Step 2: Convert to fraction form
    78,141.94/117,212.81 = 18,977.51/x
  3. Step 3: Cross multiply
    78,141.94x = 117,212.81 × 18,977.51
  4. Step 4: Simplify right side
    78,141.94x = 2,224,407,472.05
  5. Step 5: Solve for x
    x = 2,224,407,472.05/78,141.94
  6. Step 6: Final answer
    x = 28,466.24

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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.