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Finding the Fourth Proportional to 78,992.80, 109,011.36 and 47,164.48

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Solution

The fourth proportional to 78,992.80, 109,011.36 and 47,164.48 is: 65,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,992.80 : 109,011.36 = 47,164.48 : x
  2. Step 2: Convert to fraction form
    78,992.80/109,011.36 = 47,164.48/x
  3. Step 3: Cross multiply
    78,992.80x = 109,011.36 × 47,164.48
  4. Step 4: Simplify right side
    78,992.80x = 5,141,464,108.49
  5. Step 5: Solve for x
    x = 5,141,464,108.49/78,992.80
  6. Step 6: Final answer
    x = 65,087.76

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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.