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Finding the Fourth Proportional to 70,782.59, 106,173.08 and 28,651.21

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Solution

The fourth proportional to 70,782.59, 106,173.08 and 28,651.21 is: 42,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,782.59 : 106,173.08 = 28,651.21 : x
  2. Step 2: Convert to fraction form
    70,782.59/106,173.08 = 28,651.21/x
  3. Step 3: Cross multiply
    70,782.59x = 106,173.08 × 28,651.21
  4. Step 4: Simplify right side
    70,782.59x = 3,041,986,537.31
  5. Step 5: Solve for x
    x = 3,041,986,537.31/70,782.59
  6. Step 6: Final answer
    x = 42,976.48

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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.