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Finding the Fourth Proportional to 102,927.60, 154,245.60 and 90,388.80

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Solution

The fourth proportional to 102,927.60, 154,245.60 and 90,388.80 is: 135,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,927.60 : 154,245.60 = 90,388.80 : x
  2. Step 2: Convert to fraction form
    102,927.60/154,245.60 = 90,388.80/x
  3. Step 3: Cross multiply
    102,927.60x = 154,245.60 × 90,388.80
  4. Step 4: Simplify right side
    102,927.60x = 13,942,074,689.28
  5. Step 5: Solve for x
    x = 13,942,074,689.28/102,927.60
  6. Step 6: Final answer
    x = 135,455.16

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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.