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Finding the Fourth Proportional to 48,496.88, 72,763.09 and 20,424

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Solution

The fourth proportional to 48,496.88, 72,763.09 and 20,424 is: 30,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,496.88 : 72,763.09 = 20,424 : x
  2. Step 2: Convert to fraction form
    48,496.88/72,763.09 = 20,424/x
  3. Step 3: Cross multiply
    48,496.88x = 72,763.09 × 20,424
  4. Step 4: Simplify right side
    48,496.88x = 1,486,113,248.04
  5. Step 5: Solve for x
    x = 1,486,113,248.04/48,496.88
  6. Step 6: Final answer
    x = 30,643.48

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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.