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Finding the Fourth Proportional to 73,112.98, 109,712.51 and 30,989.99

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Solution

The fourth proportional to 73,112.98, 109,712.51 and 30,989.99 is: 46,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,112.98 : 109,712.51 = 30,989.99 : x
  2. Step 2: Convert to fraction form
    73,112.98/109,712.51 = 30,989.99/x
  3. Step 3: Cross multiply
    73,112.98x = 109,712.51 × 30,989.99
  4. Step 4: Simplify right side
    73,112.98x = 3,399,989,587.77
  5. Step 5: Solve for x
    x = 3,399,989,587.77/73,112.98
  6. Step 6: Final answer
    x = 46,503.23

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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.