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Finding the Fourth Proportional to 30,721.82, 46,079.10 and 18,079.16

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Solution

The fourth proportional to 30,721.82, 46,079.10 and 18,079.16 is: 27,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721.82 : 46,079.10 = 18,079.16 : x
  2. Step 2: Convert to fraction form
    30,721.82/46,079.10 = 18,079.16/x
  3. Step 3: Cross multiply
    30,721.82x = 46,079.10 × 18,079.16
  4. Step 4: Simplify right side
    30,721.82x = 833,071,421.56
  5. Step 5: Solve for x
    x = 833,071,421.56/30,721.82
  6. Step 6: Final answer
    x = 27,116.60

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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.