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Finding the Fourth Proportional to 255,134.64, 382,788.44 and 112,960.30

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Solution

The fourth proportional to 255,134.64, 382,788.44 and 112,960.30 is: 169,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,134.64 : 382,788.44 = 112,960.30 : x
  2. Step 2: Convert to fraction form
    255,134.64/382,788.44 = 112,960.30/x
  3. Step 3: Cross multiply
    255,134.64x = 382,788.44 × 112,960.30
  4. Step 4: Simplify right side
    255,134.64x = 43,239,896,454.13
  5. Step 5: Solve for x
    x = 43,239,896,454.13/255,134.64
  6. Step 6: Final answer
    x = 169,478.74

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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.