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Finding the Fourth Proportional to 103,029.20, 154,689.60 and 80,867.60

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Solution

The fourth proportional to 103,029.20, 154,689.60 and 80,867.60 is: 121,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,029.20 : 154,689.60 = 80,867.60 : x
  2. Step 2: Convert to fraction form
    103,029.20/154,689.60 = 80,867.60/x
  3. Step 3: Cross multiply
    103,029.20x = 154,689.60 × 80,867.60
  4. Step 4: Simplify right side
    103,029.20x = 12,509,376,696.96
  5. Step 5: Solve for x
    x = 12,509,376,696.96/103,029.20
  6. Step 6: Final answer
    x = 121,415.84

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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.