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Finding the Fourth Proportional to 68,779.19, 103,169.16 and 31,313.06

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Solution

The fourth proportional to 68,779.19, 103,169.16 and 31,313.06 is: 46,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,779.19 : 103,169.16 = 31,313.06 : x
  2. Step 2: Convert to fraction form
    68,779.19/103,169.16 = 31,313.06/x
  3. Step 3: Cross multiply
    68,779.19x = 103,169.16 × 31,313.06
  4. Step 4: Simplify right side
    68,779.19x = 3,230,541,581.38
  5. Step 5: Solve for x
    x = 3,230,541,581.38/68,779.19
  6. Step 6: Final answer
    x = 46,969.76

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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.