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Finding the Fourth Proportional to 78,454.58, 117,680.85 and 19,290.77

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Solution

The fourth proportional to 78,454.58, 117,680.85 and 19,290.77 is: 28,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,454.58 : 117,680.85 = 19,290.77 : x
  2. Step 2: Convert to fraction form
    78,454.58/117,680.85 = 19,290.77/x
  3. Step 3: Cross multiply
    78,454.58x = 117,680.85 × 19,290.77
  4. Step 4: Simplify right side
    78,454.58x = 2,270,153,732.68
  5. Step 5: Solve for x
    x = 2,270,153,732.68/78,454.58
  6. Step 6: Final answer
    x = 28,935.90

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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.