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Finding the Fourth Proportional to 99,779.77, 137,696.25 and 54,457.84

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Solution

The fourth proportional to 99,779.77, 137,696.25 and 54,457.84 is: 75,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,779.77 : 137,696.25 = 54,457.84 : x
  2. Step 2: Convert to fraction form
    99,779.77/137,696.25 = 54,457.84/x
  3. Step 3: Cross multiply
    99,779.77x = 137,696.25 × 54,457.84
  4. Step 4: Simplify right side
    99,779.77x = 7,498,640,351.10
  5. Step 5: Solve for x
    x = 7,498,640,351.10/99,779.77
  6. Step 6: Final answer
    x = 75,151.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.