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Finding the Fourth Proportional to 73,113.48, 109,713.26 and 30,990.49

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Solution

The fourth proportional to 73,113.48, 109,713.26 and 30,990.49 is: 46,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,113.48 : 109,713.26 = 30,990.49 : x
  2. Step 2: Convert to fraction form
    73,113.48/109,713.26 = 30,990.49/x
  3. Step 3: Cross multiply
    73,113.48x = 109,713.26 × 30,990.49
  4. Step 4: Simplify right side
    73,113.48x = 3,400,067,686.90
  5. Step 5: Solve for x
    x = 3,400,067,686.90/73,113.48
  6. Step 6: Final answer
    x = 46,503.98

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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.