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Finding the Fourth Proportional to 130,682.84, 180,314.84 and 85,427.44

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Solution

The fourth proportional to 130,682.84, 180,314.84 and 85,427.44 is: 117,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,682.84 : 180,314.84 = 85,427.44 : x
  2. Step 2: Convert to fraction form
    130,682.84/180,314.84 = 85,427.44/x
  3. Step 3: Cross multiply
    130,682.84x = 180,314.84 × 85,427.44
  4. Step 4: Simplify right side
    130,682.84x = 15,403,835,175.21
  5. Step 5: Solve for x
    x = 15,403,835,175.21/130,682.84
  6. Step 6: Final answer
    x = 117,871.90

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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.