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Finding the Fourth Proportional to 255,116.94, 382,542.81 and 75,178.77

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Solution

The fourth proportional to 255,116.94, 382,542.81 and 75,178.77 is: 112,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,116.94 : 382,542.81 = 75,178.77 : x
  2. Step 2: Convert to fraction form
    255,116.94/382,542.81 = 75,178.77/x
  3. Step 3: Cross multiply
    255,116.94x = 382,542.81 × 75,178.77
  4. Step 4: Simplify right side
    255,116.94x = 28,759,097,928.14
  5. Step 5: Solve for x
    x = 28,759,097,928.14/255,116.94
  6. Step 6: Final answer
    x = 112,729.08

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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.