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Finding the Fourth Proportional to 255,172.82, 382,814.54 and 77,675.19

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Solution

The fourth proportional to 255,172.82, 382,814.54 and 77,675.19 is: 116,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,172.82 : 382,814.54 = 77,675.19 : x
  2. Step 2: Convert to fraction form
    255,172.82/382,814.54 = 77,675.19/x
  3. Step 3: Cross multiply
    255,172.82x = 382,814.54 × 77,675.19
  4. Step 4: Simplify right side
    255,172.82x = 29,735,189,826.81
  5. Step 5: Solve for x
    x = 29,735,189,826.81/255,172.82
  6. Step 6: Final answer
    x = 116,529.61

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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.