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Finding the Fourth Proportional to 71,718, 98,970.84 and 41,910

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Solution

The fourth proportional to 71,718, 98,970.84 and 41,910 is: 57,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,718 : 98,970.84 = 41,910 : x
  2. Step 2: Convert to fraction form
    71,718/98,970.84 = 41,910/x
  3. Step 3: Cross multiply
    71,718x = 98,970.84 × 41,910
  4. Step 4: Simplify right side
    71,718x = 4,147,867,904.40
  5. Step 5: Solve for x
    x = 4,147,867,904.40/71,718
  6. Step 6: Final answer
    x = 57,835.80

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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.