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Finding the Fourth Proportional to 78,624.80, 117,764.40 and 47,405.60

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Solution

The fourth proportional to 78,624.80, 117,764.40 and 47,405.60 is: 71,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,624.80 : 117,764.40 = 47,405.60 : x
  2. Step 2: Convert to fraction form
    78,624.80/117,764.40 = 47,405.60/x
  3. Step 3: Cross multiply
    78,624.80x = 117,764.40 × 47,405.60
  4. Step 4: Simplify right side
    78,624.80x = 5,582,692,040.64
  5. Step 5: Solve for x
    x = 5,582,692,040.64/78,624.80
  6. Step 6: Final answer
    x = 71,004.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.