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Finding the Fourth Proportional to 78,382.78, 117,576.40 and 19,218.40

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Solution

The fourth proportional to 78,382.78, 117,576.40 and 19,218.40 is: 28,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.78 : 117,576.40 = 19,218.40 : x
  2. Step 2: Convert to fraction form
    78,382.78/117,576.40 = 19,218.40/x
  3. Step 3: Cross multiply
    78,382.78x = 117,576.40 × 19,218.40
  4. Step 4: Simplify right side
    78,382.78x = 2,259,630,285.76
  5. Step 5: Solve for x
    x = 2,259,630,285.76/78,382.78
  6. Step 6: Final answer
    x = 28,828.15

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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.