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Finding the Fourth Proportional to 144,144, 216,216.96 and 45,648

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Solution

The fourth proportional to 144,144, 216,216.96 and 45,648 is: 68,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,144 : 216,216.96 = 45,648 : x
  2. Step 2: Convert to fraction form
    144,144/216,216.96 = 45,648/x
  3. Step 3: Cross multiply
    144,144x = 216,216.96 × 45,648
  4. Step 4: Simplify right side
    144,144x = 9,869,871,790.08
  5. Step 5: Solve for x
    x = 9,869,871,790.08/144,144
  6. Step 6: Final answer
    x = 68,472.30

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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.