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Finding the Fourth Proportional to 255,238.97, 382,913.15 and 77,760.27

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Solution

The fourth proportional to 255,238.97, 382,913.15 and 77,760.27 is: 116,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,238.97 : 382,913.15 = 77,760.27 : x
  2. Step 2: Convert to fraction form
    255,238.97/382,913.15 = 77,760.27/x
  3. Step 3: Cross multiply
    255,238.97x = 382,913.15 × 77,760.27
  4. Step 4: Simplify right side
    255,238.97x = 29,775,429,541.75
  5. Step 5: Solve for x
    x = 29,775,429,541.75/255,238.97
  6. Step 6: Final answer
    x = 116,657.07

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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.