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Finding the Fourth Proportional to 73,135.69, 109,681.80 and 31,015.15

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Solution

The fourth proportional to 73,135.69, 109,681.80 and 31,015.15 is: 46,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,135.69 : 109,681.80 = 31,015.15 : x
  2. Step 2: Convert to fraction form
    73,135.69/109,681.80 = 31,015.15/x
  3. Step 3: Cross multiply
    73,135.69x = 109,681.80 × 31,015.15
  4. Step 4: Simplify right side
    73,135.69x = 3,401,797,479.27
  5. Step 5: Solve for x
    x = 3,401,797,479.27/73,135.69
  6. Step 6: Final answer
    x = 46,513.51

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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.