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Finding the Fourth Proportional to 75,145.80, 112,726.09 and 21,838.24

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Solution

The fourth proportional to 75,145.80, 112,726.09 and 21,838.24 is: 32,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,145.80 : 112,726.09 = 21,838.24 : x
  2. Step 2: Convert to fraction form
    75,145.80/112,726.09 = 21,838.24/x
  3. Step 3: Cross multiply
    75,145.80x = 112,726.09 × 21,838.24
  4. Step 4: Simplify right side
    75,145.80x = 2,461,739,016.68
  5. Step 5: Solve for x
    x = 2,461,739,016.68/75,145.80
  6. Step 6: Final answer
    x = 32,759.50

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1.5x scale

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.