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Finding the Fourth Proportional to 78,052.80, 117,079.20 and 35,932.80

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Solution

The fourth proportional to 78,052.80, 117,079.20 and 35,932.80 is: 53,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.80 : 117,079.20 = 35,932.80 : x
  2. Step 2: Convert to fraction form
    78,052.80/117,079.20 = 35,932.80/x
  3. Step 3: Cross multiply
    78,052.80x = 117,079.20 × 35,932.80
  4. Step 4: Simplify right side
    78,052.80x = 4,206,983,477.76
  5. Step 5: Solve for x
    x = 4,206,983,477.76/78,052.80
  6. Step 6: Final answer
    x = 53,899.20

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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.