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Finding the Fourth Proportional to 78,863.36, 118,161.38 and 47,633

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Solution

The fourth proportional to 78,863.36, 118,161.38 and 47,633 is: 71,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,863.36 : 118,161.38 = 47,633 : x
  2. Step 2: Convert to fraction form
    78,863.36/118,161.38 = 47,633/x
  3. Step 3: Cross multiply
    78,863.36x = 118,161.38 × 47,633
  4. Step 4: Simplify right side
    78,863.36x = 5,628,381,013.54
  5. Step 5: Solve for x
    x = 5,628,381,013.54/78,863.36
  6. Step 6: Final answer
    x = 71,368.77

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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.