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Finding the Fourth Proportional to 130,079.70, 195,022.35 and 70,982.10

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Solution

The fourth proportional to 130,079.70, 195,022.35 and 70,982.10 is: 106,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,079.70 : 195,022.35 = 70,982.10 : x
  2. Step 2: Convert to fraction form
    130,079.70/195,022.35 = 70,982.10/x
  3. Step 3: Cross multiply
    130,079.70x = 195,022.35 × 70,982.10
  4. Step 4: Simplify right side
    130,079.70x = 13,843,095,949.94
  5. Step 5: Solve for x
    x = 13,843,095,949.94/130,079.70
  6. Step 6: Final answer
    x = 106,420.11

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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.