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Finding the Fourth Proportional to 130,736, 180,415.68 and 71,120

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Solution

The fourth proportional to 130,736, 180,415.68 and 71,120 is: 98,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,736 : 180,415.68 = 71,120 : x
  2. Step 2: Convert to fraction form
    130,736/180,415.68 = 71,120/x
  3. Step 3: Cross multiply
    130,736x = 180,415.68 × 71,120
  4. Step 4: Simplify right side
    130,736x = 12,831,163,161.60
  5. Step 5: Solve for x
    x = 12,831,163,161.60/130,736
  6. Step 6: Final answer
    x = 98,145.60

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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.