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Finding the Fourth Proportional to 72,993.90, 100,731.54 and 39,459.90

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Solution

The fourth proportional to 72,993.90, 100,731.54 and 39,459.90 is: 54,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,993.90 : 100,731.54 = 39,459.90 : x
  2. Step 2: Convert to fraction form
    72,993.90/100,731.54 = 39,459.90/x
  3. Step 3: Cross multiply
    72,993.90x = 100,731.54 × 39,459.90
  4. Step 4: Simplify right side
    72,993.90x = 3,974,856,495.25
  5. Step 5: Solve for x
    x = 3,974,856,495.25/72,993.90
  6. Step 6: Final answer
    x = 54,454.64

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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.