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Finding the Fourth Proportional to 71,738, 98,993.76 and 39,905.76

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Solution

The fourth proportional to 71,738, 98,993.76 and 39,905.76 is: 55,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738 : 98,993.76 = 39,905.76 : x
  2. Step 2: Convert to fraction form
    71,738/98,993.76 = 39,905.76/x
  3. Step 3: Cross multiply
    71,738x = 98,993.76 × 39,905.76
  4. Step 4: Simplify right side
    71,738x = 3,950,421,228.06
  5. Step 5: Solve for x
    x = 3,950,421,228.06/71,738
  6. Step 6: Final answer
    x = 55,067.35

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1.5x scale

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.