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Finding the Fourth Proportional to 255,134.64, 382,643.52 and 75,173.52

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Solution

The fourth proportional to 255,134.64, 382,643.52 and 75,173.52 is: 112,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,134.64 : 382,643.52 = 75,173.52 : x
  2. Step 2: Convert to fraction form
    255,134.64/382,643.52 = 75,173.52/x
  3. Step 3: Cross multiply
    255,134.64x = 382,643.52 × 75,173.52
  4. Step 4: Simplify right side
    255,134.64x = 28,764,660,303.59
  5. Step 5: Solve for x
    x = 28,764,660,303.59/255,134.64
  6. Step 6: Final answer
    x = 112,743.06

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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.