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Finding the Fourth Proportional to 75,047.20, 112,570.80 and 19,643.20

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Solution

The fourth proportional to 75,047.20, 112,570.80 and 19,643.20 is: 29,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,047.20 : 112,570.80 = 19,643.20 : x
  2. Step 2: Convert to fraction form
    75,047.20/112,570.80 = 19,643.20/x
  3. Step 3: Cross multiply
    75,047.20x = 112,570.80 × 19,643.20
  4. Step 4: Simplify right side
    75,047.20x = 2,211,250,738.56
  5. Step 5: Solve for x
    x = 2,211,250,738.56/75,047.20
  6. Step 6: Final answer
    x = 29,464.80

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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.