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Finding the Fourth Proportional to 255,207.76, 382,868.84 and 77,728.66

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Solution

The fourth proportional to 255,207.76, 382,868.84 and 77,728.66 is: 116,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,207.76 : 382,868.84 = 77,728.66 : x
  2. Step 2: Convert to fraction form
    255,207.76/382,868.84 = 77,728.66/x
  3. Step 3: Cross multiply
    255,207.76x = 382,868.84 × 77,728.66
  4. Step 4: Simplify right side
    255,207.76x = 29,759,881,126.10
  5. Step 5: Solve for x
    x = 29,759,881,126.10/255,207.76
  6. Step 6: Final answer
    x = 116,610.41

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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.