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Finding the Fourth Proportional to 255,187.92, 382,837.12 and 77,708.96

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Solution

The fourth proportional to 255,187.92, 382,837.12 and 77,708.96 is: 116,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,187.92 : 382,837.12 = 77,708.96 : x
  2. Step 2: Convert to fraction form
    255,187.92/382,837.12 = 77,708.96/x
  3. Step 3: Cross multiply
    255,187.92x = 382,837.12 × 77,708.96
  4. Step 4: Simplify right side
    255,187.92x = 29,749,874,444.60
  5. Step 5: Solve for x
    x = 29,749,874,444.60/255,187.92
  6. Step 6: Final answer
    x = 116,580.26

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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.