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Finding the Fourth Proportional to 45,582.51, 68,409.51 and 31,640.65

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Solution

The fourth proportional to 45,582.51, 68,409.51 and 31,640.65 is: 47,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,582.51 : 68,409.51 = 31,640.65 : x
  2. Step 2: Convert to fraction form
    45,582.51/68,409.51 = 31,640.65/x
  3. Step 3: Cross multiply
    45,582.51x = 68,409.51 × 31,640.65
  4. Step 4: Simplify right side
    45,582.51x = 2,164,521,443.29
  5. Step 5: Solve for x
    x = 2,164,521,443.29/45,582.51
  6. Step 6: Final answer
    x = 47,485.79

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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.