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Finding the Fourth Proportional to 144,120, 216,180.96 and 45,624

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Solution

The fourth proportional to 144,120, 216,180.96 and 45,624 is: 68,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,120 : 216,180.96 = 45,624 : x
  2. Step 2: Convert to fraction form
    144,120/216,180.96 = 45,624/x
  3. Step 3: Cross multiply
    144,120x = 216,180.96 × 45,624
  4. Step 4: Simplify right side
    144,120x = 9,863,040,119.04
  5. Step 5: Solve for x
    x = 9,863,040,119.04/144,120
  6. Step 6: Final answer
    x = 68,436.30

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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.