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Finding the Fourth Proportional to 52,758, 79,136.10 and 13,314.83

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Solution

The fourth proportional to 52,758, 79,136.10 and 13,314.83 is: 19,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,758 : 79,136.10 = 13,314.83 : x
  2. Step 2: Convert to fraction form
    52,758/79,136.10 = 13,314.83/x
  3. Step 3: Cross multiply
    52,758x = 79,136.10 × 13,314.83
  4. Step 4: Simplify right side
    52,758x = 1,053,683,322.68
  5. Step 5: Solve for x
    x = 1,053,683,322.68/52,758
  6. Step 6: Final answer
    x = 19,972.01

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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.