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Finding the Fourth Proportional to 78,466.60, 108,271.38 and 51,619.96

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Solution

The fourth proportional to 78,466.60, 108,271.38 and 51,619.96 is: 71,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.60 : 108,271.38 = 51,619.96 : x
  2. Step 2: Convert to fraction form
    78,466.60/108,271.38 = 51,619.96/x
  3. Step 3: Cross multiply
    78,466.60x = 108,271.38 × 51,619.96
  4. Step 4: Simplify right side
    78,466.60x = 5,588,964,304.74
  5. Step 5: Solve for x
    x = 5,588,964,304.74/78,466.60
  6. Step 6: Final answer
    x = 71,227.30

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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.