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Finding the Fourth Proportional to 185,285.70, 255,694.50 and 100,402.20

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Solution

The fourth proportional to 185,285.70, 255,694.50 and 100,402.20 is: 138,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,285.70 : 255,694.50 = 100,402.20 : x
  2. Step 2: Convert to fraction form
    185,285.70/255,694.50 = 100,402.20/x
  3. Step 3: Cross multiply
    185,285.70x = 255,694.50 × 100,402.20
  4. Step 4: Simplify right side
    185,285.70x = 25,672,290,327.90
  5. Step 5: Solve for x
    x = 25,672,290,327.90/185,285.70
  6. Step 6: Final answer
    x = 138,555.16

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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.