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Finding the Fourth Proportional to 78,178.30, 107,891.45 and 47,563.34

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Solution

The fourth proportional to 78,178.30, 107,891.45 and 47,563.34 is: 65,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178.30 : 107,891.45 = 47,563.34 : x
  2. Step 2: Convert to fraction form
    78,178.30/107,891.45 = 47,563.34/x
  3. Step 3: Cross multiply
    78,178.30x = 107,891.45 × 47,563.34
  4. Step 4: Simplify right side
    78,178.30x = 5,131,676,942.17
  5. Step 5: Solve for x
    x = 5,131,676,942.17/78,178.30
  6. Step 6: Final answer
    x = 65,640.69

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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.