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Finding the Fourth Proportional to 78,652.80, 108,518.40 and 50,335.20

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Solution

The fourth proportional to 78,652.80, 108,518.40 and 50,335.20 is: 69,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,652.80 : 108,518.40 = 50,335.20 : x
  2. Step 2: Convert to fraction form
    78,652.80/108,518.40 = 50,335.20/x
  3. Step 3: Cross multiply
    78,652.80x = 108,518.40 × 50,335.20
  4. Step 4: Simplify right side
    78,652.80x = 5,462,295,367.68
  5. Step 5: Solve for x
    x = 5,462,295,367.68/78,652.80
  6. Step 6: Final answer
    x = 69,448.20

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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.