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Finding the Fourth Proportional to 130,043.40, 194,930.70 and 70,753.80

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Solution

The fourth proportional to 130,043.40, 194,930.70 and 70,753.80 is: 106,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,043.40 : 194,930.70 = 70,753.80 : x
  2. Step 2: Convert to fraction form
    130,043.40/194,930.70 = 70,753.80/x
  3. Step 3: Cross multiply
    130,043.40x = 194,930.70 × 70,753.80
  4. Step 4: Simplify right side
    130,043.40x = 13,792,087,761.66
  5. Step 5: Solve for x
    x = 13,792,087,761.66/130,043.40
  6. Step 6: Final answer
    x = 106,057.58

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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.