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Finding the Fourth Proportional to 102,776.64, 154,051.75 and 67,223.31

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Solution

The fourth proportional to 102,776.64, 154,051.75 and 67,223.31 is: 100,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,776.64 : 154,051.75 = 67,223.31 : x
  2. Step 2: Convert to fraction form
    102,776.64/154,051.75 = 67,223.31/x
  3. Step 3: Cross multiply
    102,776.64x = 154,051.75 × 67,223.31
  4. Step 4: Simplify right side
    102,776.64x = 10,355,868,546.29
  5. Step 5: Solve for x
    x = 10,355,868,546.29/102,776.64
  6. Step 6: Final answer
    x = 100,760.92

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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.