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Finding the Fourth Proportional to 102,705.80, 154,080.30 and 58,296.20

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Solution

The fourth proportional to 102,705.80, 154,080.30 and 58,296.20 is: 87,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.80 : 154,080.30 = 58,296.20 : x
  2. Step 2: Convert to fraction form
    102,705.80/154,080.30 = 58,296.20/x
  3. Step 3: Cross multiply
    102,705.80x = 154,080.30 × 58,296.20
  4. Step 4: Simplify right side
    102,705.80x = 8,982,295,984.86
  5. Step 5: Solve for x
    x = 8,982,295,984.86/102,705.80
  6. Step 6: Final answer
    x = 87,456.56

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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.