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Finding the Fourth Proportional to 255,204.54, 382,862.16 and 77,706.90

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Solution

The fourth proportional to 255,204.54, 382,862.16 and 77,706.90 is: 116,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,204.54 : 382,862.16 = 77,706.90 : x
  2. Step 2: Convert to fraction form
    255,204.54/382,862.16 = 77,706.90/x
  3. Step 3: Cross multiply
    255,204.54x = 382,862.16 × 77,706.90
  4. Step 4: Simplify right side
    255,204.54x = 29,751,031,580.90
  5. Step 5: Solve for x
    x = 29,751,031,580.90/255,204.54
  6. Step 6: Final answer
    x = 116,577.20

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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.