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Finding the Fourth Proportional to 80,788, 111,496.08 and 47,282.08

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Solution

The fourth proportional to 80,788, 111,496.08 and 47,282.08 is: 65,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,788 : 111,496.08 = 47,282.08 : x
  2. Step 2: Convert to fraction form
    80,788/111,496.08 = 47,282.08/x
  3. Step 3: Cross multiply
    80,788x = 111,496.08 × 47,282.08
  4. Step 4: Simplify right side
    80,788x = 5,271,766,574.25
  5. Step 5: Solve for x
    x = 5,271,766,574.25/80,788
  6. Step 6: Final answer
    x = 65,254.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.