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Finding the Fourth Proportional to 313,665.12, 470,495.61 and 89,025.71

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Solution

The fourth proportional to 313,665.12, 470,495.61 and 89,025.71 is: 133,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,665.12 : 470,495.61 = 89,025.71 : x
  2. Step 2: Convert to fraction form
    313,665.12/470,495.61 = 89,025.71/x
  3. Step 3: Cross multiply
    313,665.12x = 470,495.61 × 89,025.71
  4. Step 4: Simplify right side
    313,665.12x = 41,886,203,379.66
  5. Step 5: Solve for x
    x = 41,886,203,379.66/313,665.12
  6. Step 6: Final answer
    x = 133,537.97

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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.