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Finding the Fourth Proportional to 81,590.65, 122,269.32 and 46,457.71

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Solution

The fourth proportional to 81,590.65, 122,269.32 and 46,457.71 is: 69,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,590.65 : 122,269.32 = 46,457.71 : x
  2. Step 2: Convert to fraction form
    81,590.65/122,269.32 = 46,457.71/x
  3. Step 3: Cross multiply
    81,590.65x = 122,269.32 × 46,457.71
  4. Step 4: Simplify right side
    81,590.65x = 5,680,352,304.78
  5. Step 5: Solve for x
    x = 5,680,352,304.78/81,590.65
  6. Step 6: Final answer
    x = 69,620.14

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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.