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Finding the Fourth Proportional to 115,758.51, 159,699.46 and 75,457.56

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Solution

The fourth proportional to 115,758.51, 159,699.46 and 75,457.56 is: 104,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,758.51 : 159,699.46 = 75,457.56 : x
  2. Step 2: Convert to fraction form
    115,758.51/159,699.46 = 75,457.56/x
  3. Step 3: Cross multiply
    115,758.51x = 159,699.46 × 75,457.56
  4. Step 4: Simplify right side
    115,758.51x = 12,050,531,584.92
  5. Step 5: Solve for x
    x = 12,050,531,584.92/115,758.51
  6. Step 6: Final answer
    x = 104,100.61

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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.