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Finding the Fourth Proportional to 78,093.51, 117,139.23 and 18,929.72

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Solution

The fourth proportional to 78,093.51, 117,139.23 and 18,929.72 is: 28,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093.51 : 117,139.23 = 18,929.72 : x
  2. Step 2: Convert to fraction form
    78,093.51/117,139.23 = 18,929.72/x
  3. Step 3: Cross multiply
    78,093.51x = 117,139.23 × 18,929.72
  4. Step 4: Simplify right side
    78,093.51x = 2,217,412,239.22
  5. Step 5: Solve for x
    x = 2,217,412,239.22/78,093.51
  6. Step 6: Final answer
    x = 28,394.32

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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.