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Finding the Fourth Proportional to 78,178.80, 107,892.14 and 47,563.83

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Solution

The fourth proportional to 78,178.80, 107,892.14 and 47,563.83 is: 65,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178.80 : 107,892.14 = 47,563.83 : x
  2. Step 2: Convert to fraction form
    78,178.80/107,892.14 = 47,563.83/x
  3. Step 3: Cross multiply
    78,178.80x = 107,892.14 × 47,563.83
  4. Step 4: Simplify right side
    78,178.80x = 5,131,763,405.30
  5. Step 5: Solve for x
    x = 5,131,763,405.30/78,178.80
  6. Step 6: Final answer
    x = 65,641.37

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1.5x scale

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.