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Finding the Fourth Proportional to 172,696.74, 259,022.43 and 54,368.70

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Solution

The fourth proportional to 172,696.74, 259,022.43 and 54,368.70 is: 81,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,696.74 : 259,022.43 = 54,368.70 : x
  2. Step 2: Convert to fraction form
    172,696.74/259,022.43 = 54,368.70/x
  3. Step 3: Cross multiply
    172,696.74x = 259,022.43 × 54,368.70
  4. Step 4: Simplify right side
    172,696.74x = 14,082,712,789.94
  5. Step 5: Solve for x
    x = 14,082,712,789.94/172,696.74
  6. Step 6: Final answer
    x = 81,545.91

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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.