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Finding the Fourth Proportional to 180,203.83, 270,043.30 and 86,600.23

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Solution

The fourth proportional to 180,203.83, 270,043.30 and 86,600.23 is: 129,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,203.83 : 270,043.30 = 86,600.23 : x
  2. Step 2: Convert to fraction form
    180,203.83/270,043.30 = 86,600.23/x
  3. Step 3: Cross multiply
    180,203.83x = 270,043.30 × 86,600.23
  4. Step 4: Simplify right side
    180,203.83x = 23,385,811,889.96
  5. Step 5: Solve for x
    x = 23,385,811,889.96/180,203.83
  6. Step 6: Final answer
    x = 129,774.22

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1.5x scale

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.