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Finding the Fourth Proportional to 102,706.40, 154,189.20 and 55,359.20

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Solution

The fourth proportional to 102,706.40, 154,189.20 and 55,359.20 is: 83,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.40 : 154,189.20 = 55,359.20 : x
  2. Step 2: Convert to fraction form
    102,706.40/154,189.20 = 55,359.20/x
  3. Step 3: Cross multiply
    102,706.40x = 154,189.20 × 55,359.20
  4. Step 4: Simplify right side
    102,706.40x = 8,535,790,760.64
  5. Step 5: Solve for x
    x = 8,535,790,760.64/102,706.40
  6. Step 6: Final answer
    x = 83,108.65

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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.