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Finding the Fourth Proportional to 130,360, 179,896.80 and 70,744

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Solution

The fourth proportional to 130,360, 179,896.80 and 70,744 is: 97,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,360 : 179,896.80 = 70,744 : x
  2. Step 2: Convert to fraction form
    130,360/179,896.80 = 70,744/x
  3. Step 3: Cross multiply
    130,360x = 179,896.80 × 70,744
  4. Step 4: Simplify right side
    130,360x = 12,726,619,219.20
  5. Step 5: Solve for x
    x = 12,726,619,219.20/130,360
  6. Step 6: Final answer
    x = 97,626.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.