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Finding the Fourth Proportional to 120,530.53, 180,797.34 and 83,080.55

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Solution

The fourth proportional to 120,530.53, 180,797.34 and 83,080.55 is: 124,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,530.53 : 180,797.34 = 83,080.55 : x
  2. Step 2: Convert to fraction form
    120,530.53/180,797.34 = 83,080.55/x
  3. Step 3: Cross multiply
    120,530.53x = 180,797.34 × 83,080.55
  4. Step 4: Simplify right side
    120,530.53x = 15,020,742,445.74
  5. Step 5: Solve for x
    x = 15,020,742,445.74/120,530.53
  6. Step 6: Final answer
    x = 124,621.89

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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.