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Finding the Fourth Proportional to 52,628.80, 78,964.80 and 19,364.80

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Solution

The fourth proportional to 52,628.80, 78,964.80 and 19,364.80 is: 29,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,628.80 : 78,964.80 = 19,364.80 : x
  2. Step 2: Convert to fraction form
    52,628.80/78,964.80 = 19,364.80/x
  3. Step 3: Cross multiply
    52,628.80x = 78,964.80 × 19,364.80
  4. Step 4: Simplify right side
    52,628.80x = 1,529,137,559.04
  5. Step 5: Solve for x
    x = 1,529,137,559.04/52,628.80
  6. Step 6: Final answer
    x = 29,055.15

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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.