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Finding the Fourth Proportional to 76,810.60, 115,288.80 and 65,729.80

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Solution

The fourth proportional to 76,810.60, 115,288.80 and 65,729.80 is: 98,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810.60 : 115,288.80 = 65,729.80 : x
  2. Step 2: Convert to fraction form
    76,810.60/115,288.80 = 65,729.80/x
  3. Step 3: Cross multiply
    76,810.60x = 115,288.80 × 65,729.80
  4. Step 4: Simplify right side
    76,810.60x = 7,577,909,766.24
  5. Step 5: Solve for x
    x = 7,577,909,766.24/76,810.60
  6. Step 6: Final answer
    x = 98,657.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.