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Finding the Fourth Proportional to 77,795.88, 107,331.72 and 47,178.33

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Solution

The fourth proportional to 77,795.88, 107,331.72 and 47,178.33 is: 65,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,795.88 : 107,331.72 = 47,178.33 : x
  2. Step 2: Convert to fraction form
    77,795.88/107,331.72 = 47,178.33/x
  3. Step 3: Cross multiply
    77,795.88x = 107,331.72 × 47,178.33
  4. Step 4: Simplify right side
    77,795.88x = 5,063,731,305.63
  5. Step 5: Solve for x
    x = 5,063,731,305.63/77,795.88
  6. Step 6: Final answer
    x = 65,089.97

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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.