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Finding the Fourth Proportional to 185,138.65, 255,492.12 and 100,255.78

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Solution

The fourth proportional to 185,138.65, 255,492.12 and 100,255.78 is: 138,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,138.65 : 255,492.12 = 100,255.78 : x
  2. Step 2: Convert to fraction form
    185,138.65/255,492.12 = 100,255.78/x
  3. Step 3: Cross multiply
    185,138.65x = 255,492.12 × 100,255.78
  4. Step 4: Simplify right side
    185,138.65x = 25,614,561,774.45
  5. Step 5: Solve for x
    x = 25,614,561,774.45/185,138.65
  6. Step 6: Final answer
    x = 138,353.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.