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Finding the Fourth Proportional to 78,675.88, 117,882.54 and 55,260.40

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Solution

The fourth proportional to 78,675.88, 117,882.54 and 55,260.40 is: 82,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,675.88 : 117,882.54 = 55,260.40 : x
  2. Step 2: Convert to fraction form
    78,675.88/117,882.54 = 55,260.40/x
  3. Step 3: Cross multiply
    78,675.88x = 117,882.54 × 55,260.40
  4. Step 4: Simplify right side
    78,675.88x = 6,514,236,313.42
  5. Step 5: Solve for x
    x = 6,514,236,313.42/78,675.88
  6. Step 6: Final answer
    x = 82,798.39

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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.