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Finding the Fourth Proportional to 102,706.20, 154,059.30 and 58,419.45

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Solution

The fourth proportional to 102,706.20, 154,059.30 and 58,419.45 is: 87,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.20 : 154,059.30 = 58,419.45 : x
  2. Step 2: Convert to fraction form
    102,706.20/154,059.30 = 58,419.45/x
  3. Step 3: Cross multiply
    102,706.20x = 154,059.30 × 58,419.45
  4. Step 4: Simplify right side
    102,706.20x = 9,000,059,573.39
  5. Step 5: Solve for x
    x = 9,000,059,573.39/102,706.20
  6. Step 6: Final answer
    x = 87,629.18

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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.