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Finding the Fourth Proportional to 183,947, 275,689.66 and 78,642.20

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Solution

The fourth proportional to 183,947, 275,689.66 and 78,642.20 is: 117,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,947 : 275,689.66 = 78,642.20 : x
  2. Step 2: Convert to fraction form
    183,947/275,689.66 = 78,642.20/x
  3. Step 3: Cross multiply
    183,947x = 275,689.66 × 78,642.20
  4. Step 4: Simplify right side
    183,947x = 21,680,841,379.65
  5. Step 5: Solve for x
    x = 21,680,841,379.65/183,947
  6. Step 6: Final answer
    x = 117,864.61

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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.