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Finding the Fourth Proportional to 48,657.97, 72,994.43 and 20,578.06

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Solution

The fourth proportional to 48,657.97, 72,994.43 and 20,578.06 is: 30,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.97 : 72,994.43 = 20,578.06 : x
  2. Step 2: Convert to fraction form
    48,657.97/72,994.43 = 20,578.06/x
  3. Step 3: Cross multiply
    48,657.97x = 72,994.43 × 20,578.06
  4. Step 4: Simplify right side
    48,657.97x = 1,502,083,760.21
  5. Step 5: Solve for x
    x = 1,502,083,760.21/48,657.97
  6. Step 6: Final answer
    x = 30,870.25

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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.