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Finding the Fourth Proportional to 144,651.40, 216,977.10 and 82,443.40

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Solution

The fourth proportional to 144,651.40, 216,977.10 and 82,443.40 is: 123,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651.40 : 216,977.10 = 82,443.40 : x
  2. Step 2: Convert to fraction form
    144,651.40/216,977.10 = 82,443.40/x
  3. Step 3: Cross multiply
    144,651.40x = 216,977.10 × 82,443.40
  4. Step 4: Simplify right side
    144,651.40x = 17,888,329,846.14
  5. Step 5: Solve for x
    x = 17,888,329,846.14/144,651.40
  6. Step 6: Final answer
    x = 123,665.10

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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.