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Finding the Fourth Proportional to 255,293.10, 382,954.05 and 77,805.90

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Solution

The fourth proportional to 255,293.10, 382,954.05 and 77,805.90 is: 116,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,293.10 : 382,954.05 = 77,805.90 : x
  2. Step 2: Convert to fraction form
    255,293.10/382,954.05 = 77,805.90/x
  3. Step 3: Cross multiply
    255,293.10x = 382,954.05 × 77,805.90
  4. Step 4: Simplify right side
    255,293.10x = 29,796,084,518.90
  5. Step 5: Solve for x
    x = 29,796,084,518.90/255,293.10
  6. Step 6: Final answer
    x = 116,713.24

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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.