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Finding the Fourth Proportional to 52,942.88, 79,424.04 and 19,685.90

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Solution

The fourth proportional to 52,942.88, 79,424.04 and 19,685.90 is: 29,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,942.88 : 79,424.04 = 19,685.90 : x
  2. Step 2: Convert to fraction form
    52,942.88/79,424.04 = 19,685.90/x
  3. Step 3: Cross multiply
    52,942.88x = 79,424.04 × 19,685.90
  4. Step 4: Simplify right side
    52,942.88x = 1,563,533,709.04
  5. Step 5: Solve for x
    x = 1,563,533,709.04/52,942.88
  6. Step 6: Final answer
    x = 29,532.46

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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.