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Finding the Fourth Proportional to 77,663.94, 107,193.95 and 54,979.35

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Solution

The fourth proportional to 77,663.94, 107,193.95 and 54,979.35 is: 75,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,663.94 : 107,193.95 = 54,979.35 : x
  2. Step 2: Convert to fraction form
    77,663.94/107,193.95 = 54,979.35/x
  3. Step 3: Cross multiply
    77,663.94x = 107,193.95 × 54,979.35
  4. Step 4: Simplify right side
    77,663.94x = 5,893,453,694.93
  5. Step 5: Solve for x
    x = 5,893,453,694.93/77,663.94
  6. Step 6: Final answer
    x = 75,884.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.