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Finding the Fourth Proportional to 72,994.47, 100,732.09 and 39,460.47

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Solution

The fourth proportional to 72,994.47, 100,732.09 and 39,460.47 is: 54,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,994.47 : 100,732.09 = 39,460.47 : x
  2. Step 2: Convert to fraction form
    72,994.47/100,732.09 = 39,460.47/x
  3. Step 3: Cross multiply
    72,994.47x = 100,732.09 × 39,460.47
  4. Step 4: Simplify right side
    72,994.47x = 3,974,935,615.48
  5. Step 5: Solve for x
    x = 3,974,935,615.48/72,994.47
  6. Step 6: Final answer
    x = 54,455.30

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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.