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Finding the Fourth Proportional to 208,313.11, 312,485.86 and 68,085.91

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Solution

The fourth proportional to 208,313.11, 312,485.86 and 68,085.91 is: 102,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,313.11 : 312,485.86 = 68,085.91 : x
  2. Step 2: Convert to fraction form
    208,313.11/312,485.86 = 68,085.91/x
  3. Step 3: Cross multiply
    208,313.11x = 312,485.86 × 68,085.91
  4. Step 4: Simplify right side
    208,313.11x = 21,275,884,140.23
  5. Step 5: Solve for x
    x = 21,275,884,140.23/208,313.11
  6. Step 6: Final answer
    x = 102,134.16

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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.