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Finding the Fourth Proportional to 180,776.21, 270,811.35 and 85,871.34

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Solution

The fourth proportional to 180,776.21, 270,811.35 and 85,871.34 is: 128,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,776.21 : 270,811.35 = 85,871.34 : x
  2. Step 2: Convert to fraction form
    180,776.21/270,811.35 = 85,871.34/x
  3. Step 3: Cross multiply
    180,776.21x = 270,811.35 × 85,871.34
  4. Step 4: Simplify right side
    180,776.21x = 23,254,933,511.71
  5. Step 5: Solve for x
    x = 23,254,933,511.71/180,776.21
  6. Step 6: Final answer
    x = 128,639.35

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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.