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Finding the Fourth Proportional to 78,610, 108,481.80 and 43,282

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Solution

The fourth proportional to 78,610, 108,481.80 and 43,282 is: 59,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,610 : 108,481.80 = 43,282 : x
  2. Step 2: Convert to fraction form
    78,610/108,481.80 = 43,282/x
  3. Step 3: Cross multiply
    78,610x = 108,481.80 × 43,282
  4. Step 4: Simplify right side
    78,610x = 4,695,309,267.60
  5. Step 5: Solve for x
    x = 4,695,309,267.60/78,610
  6. Step 6: Final answer
    x = 59,729.16

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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.