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Finding the Fourth Proportional to 109,505.80, 164,258.70 and 85,886.20

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Solution

The fourth proportional to 109,505.80, 164,258.70 and 85,886.20 is: 128,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,505.80 : 164,258.70 = 85,886.20 : x
  2. Step 2: Convert to fraction form
    109,505.80/164,258.70 = 85,886.20/x
  3. Step 3: Cross multiply
    109,505.80x = 164,258.70 × 85,886.20
  4. Step 4: Simplify right side
    109,505.80x = 14,107,555,559.94
  5. Step 5: Solve for x
    x = 14,107,555,559.94/109,505.80
  6. Step 6: Final answer
    x = 128,829.30

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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.