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Finding the Fourth Proportional to 73,177, 100,985.34 and 39,643

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Solution

The fourth proportional to 73,177, 100,985.34 and 39,643 is: 54,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177 : 100,985.34 = 39,643 : x
  2. Step 2: Convert to fraction form
    73,177/100,985.34 = 39,643/x
  3. Step 3: Cross multiply
    73,177x = 100,985.34 × 39,643
  4. Step 4: Simplify right side
    73,177x = 4,003,361,833.62
  5. Step 5: Solve for x
    x = 4,003,361,833.62/73,177
  6. Step 6: Final answer
    x = 54,707.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.