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Finding the Fourth Proportional to 255,290.60, 382,991.16 and 77,792.96

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Solution

The fourth proportional to 255,290.60, 382,991.16 and 77,792.96 is: 116,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,290.60 : 382,991.16 = 77,792.96 : x
  2. Step 2: Convert to fraction form
    255,290.60/382,991.16 = 77,792.96/x
  3. Step 3: Cross multiply
    255,290.60x = 382,991.16 × 77,792.96
  4. Step 4: Simplify right side
    255,290.60x = 29,794,015,990.23
  5. Step 5: Solve for x
    x = 29,794,015,990.23/255,290.60
  6. Step 6: Final answer
    x = 116,706.28

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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.