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Finding the Fourth Proportional to 144,920.20, 217,418.70 and 51,416.20

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Solution

The fourth proportional to 144,920.20, 217,418.70 and 51,416.20 is: 77,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,920.20 : 217,418.70 = 51,416.20 : x
  2. Step 2: Convert to fraction form
    144,920.20/217,418.70 = 51,416.20/x
  3. Step 3: Cross multiply
    144,920.20x = 217,418.70 × 51,416.20
  4. Step 4: Simplify right side
    144,920.20x = 11,178,843,362.94
  5. Step 5: Solve for x
    x = 11,178,843,362.94/144,920.20
  6. Step 6: Final answer
    x = 77,137.92

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1.5x scale

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.