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Finding the Fourth Proportional to 144,455.40, 216,745.14 and 55,771.20

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Solution

The fourth proportional to 144,455.40, 216,745.14 and 55,771.20 is: 83,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,455.40 : 216,745.14 = 55,771.20 : x
  2. Step 2: Convert to fraction form
    144,455.40/216,745.14 = 55,771.20/x
  3. Step 3: Cross multiply
    144,455.40x = 216,745.14 × 55,771.20
  4. Step 4: Simplify right side
    144,455.40x = 12,088,136,551.97
  5. Step 5: Solve for x
    x = 12,088,136,551.97/144,455.40
  6. Step 6: Final answer
    x = 83,680.75

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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.