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Finding the Fourth Proportional to 120,615.76, 180,889.08 and 40,645

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Solution

The fourth proportional to 120,615.76, 180,889.08 and 40,645 is: 60,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,615.76 : 180,889.08 = 40,645 : x
  2. Step 2: Convert to fraction form
    120,615.76/180,889.08 = 40,645/x
  3. Step 3: Cross multiply
    120,615.76x = 180,889.08 × 40,645
  4. Step 4: Simplify right side
    120,615.76x = 7,352,236,656.60
  5. Step 5: Solve for x
    x = 7,352,236,656.60/120,615.76
  6. Step 6: Final answer
    x = 60,955.85

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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.