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Finding the Fourth Proportional to 144,894.20, 217,379.70 and 51,390.20

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Solution

The fourth proportional to 144,894.20, 217,379.70 and 51,390.20 is: 77,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,894.20 : 217,379.70 = 51,390.20 : x
  2. Step 2: Convert to fraction form
    144,894.20/217,379.70 = 51,390.20/x
  3. Step 3: Cross multiply
    144,894.20x = 217,379.70 × 51,390.20
  4. Step 4: Simplify right side
    144,894.20x = 11,171,186,258.94
  5. Step 5: Solve for x
    x = 11,171,186,258.94/144,894.20
  6. Step 6: Final answer
    x = 77,098.92

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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.