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Finding the Fourth Proportional to 75,271.88, 112,907.87 and 19,116.20

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Solution

The fourth proportional to 75,271.88, 112,907.87 and 19,116.20 is: 28,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.88 : 112,907.87 = 19,116.20 : x
  2. Step 2: Convert to fraction form
    75,271.88/112,907.87 = 19,116.20/x
  3. Step 3: Cross multiply
    75,271.88x = 112,907.87 × 19,116.20
  4. Step 4: Simplify right side
    75,271.88x = 2,158,368,764.37
  5. Step 5: Solve for x
    x = 2,158,368,764.37/75,271.88
  6. Step 6: Final answer
    x = 28,674.31

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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.