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Finding the Fourth Proportional to 76,811.60, 115,109.40 and 61,043.60

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Solution

The fourth proportional to 76,811.60, 115,109.40 and 61,043.60 is: 91,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,811.60 : 115,109.40 = 61,043.60 : x
  2. Step 2: Convert to fraction form
    76,811.60/115,109.40 = 61,043.60/x
  3. Step 3: Cross multiply
    76,811.60x = 115,109.40 × 61,043.60
  4. Step 4: Simplify right side
    76,811.60x = 7,026,692,169.84
  5. Step 5: Solve for x
    x = 7,026,692,169.84/76,811.60
  6. Step 6: Final answer
    x = 91,479.57

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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.