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Finding the Fourth Proportional to 78,633.60, 117,964.80 and 31,891.20

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Solution

The fourth proportional to 78,633.60, 117,964.80 and 31,891.20 is: 47,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,633.60 : 117,964.80 = 31,891.20 : x
  2. Step 2: Convert to fraction form
    78,633.60/117,964.80 = 31,891.20/x
  3. Step 3: Cross multiply
    78,633.60x = 117,964.80 × 31,891.20
  4. Step 4: Simplify right side
    78,633.60x = 3,762,039,029.76
  5. Step 5: Solve for x
    x = 3,762,039,029.76/78,633.60
  6. Step 6: Final answer
    x = 47,842.64

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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.