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Finding the Fourth Proportional to 102,980.30, 154,168.05 and 76,801.10

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Solution

The fourth proportional to 102,980.30, 154,168.05 and 76,801.10 is: 114,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980.30 : 154,168.05 = 76,801.10 : x
  2. Step 2: Convert to fraction form
    102,980.30/154,168.05 = 76,801.10/x
  3. Step 3: Cross multiply
    102,980.30x = 154,168.05 × 76,801.10
  4. Step 4: Simplify right side
    102,980.30x = 11,840,275,824.86
  5. Step 5: Solve for x
    x = 11,840,275,824.86/102,980.30
  6. Step 6: Final answer
    x = 114,976.12

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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.