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Finding the Fourth Proportional to 78,489.83, 117,734.74 and 54,870.23

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Solution

The fourth proportional to 78,489.83, 117,734.74 and 54,870.23 is: 82,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,489.83 : 117,734.74 = 54,870.23 : x
  2. Step 2: Convert to fraction form
    78,489.83/117,734.74 = 54,870.23/x
  3. Step 3: Cross multiply
    78,489.83x = 117,734.74 × 54,870.23
  4. Step 4: Simplify right side
    78,489.83x = 6,460,131,536.94
  5. Step 5: Solve for x
    x = 6,460,131,536.94/78,489.83
  6. Step 6: Final answer
    x = 82,305.34

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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.