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Finding the Fourth Proportional to 86,568, 129,774.24 and 31,151.04

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Solution

The fourth proportional to 86,568, 129,774.24 and 31,151.04 is: 46,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,568 : 129,774.24 = 31,151.04 : x
  2. Step 2: Convert to fraction form
    86,568/129,774.24 = 31,151.04/x
  3. Step 3: Cross multiply
    86,568x = 129,774.24 × 31,151.04
  4. Step 4: Simplify right side
    86,568x = 4,042,602,541.21
  5. Step 5: Solve for x
    x = 4,042,602,541.21/86,568
  6. Step 6: Final answer
    x = 46,698.58

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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.