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Finding the Fourth Proportional to 110,246.40, 164,980.80 and 76,809.60

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Solution

The fourth proportional to 110,246.40, 164,980.80 and 76,809.60 is: 114,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,246.40 : 164,980.80 = 76,809.60 : x
  2. Step 2: Convert to fraction form
    110,246.40/164,980.80 = 76,809.60/x
  3. Step 3: Cross multiply
    110,246.40x = 164,980.80 × 76,809.60
  4. Step 4: Simplify right side
    110,246.40x = 12,672,109,255.68
  5. Step 5: Solve for x
    x = 12,672,109,255.68/110,246.40
  6. Step 6: Final answer
    x = 114,943.52

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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.