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Finding the Fourth Proportional to 120,209.76, 180,371.34 and 53,643.96

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Solution

The fourth proportional to 120,209.76, 180,371.34 and 53,643.96 is: 80,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,209.76 : 180,371.34 = 53,643.96 : x
  2. Step 2: Convert to fraction form
    120,209.76/180,371.34 = 53,643.96/x
  3. Step 3: Cross multiply
    120,209.76x = 180,371.34 × 53,643.96
  4. Step 4: Simplify right side
    120,209.76x = 9,675,832,948.11
  5. Step 5: Solve for x
    x = 9,675,832,948.11/120,209.76
  6. Step 6: Final answer
    x = 80,491.24

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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.