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Finding the Fourth Proportional to 103,353.10, 155,029.65 and 85,857.10

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Solution

The fourth proportional to 103,353.10, 155,029.65 and 85,857.10 is: 128,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,353.10 : 155,029.65 = 85,857.10 : x
  2. Step 2: Convert to fraction form
    103,353.10/155,029.65 = 85,857.10/x
  3. Step 3: Cross multiply
    103,353.10x = 155,029.65 × 85,857.10
  4. Step 4: Simplify right side
    103,353.10x = 13,310,396,163.02
  5. Step 5: Solve for x
    x = 13,310,396,163.02/103,353.10
  6. Step 6: Final answer
    x = 128,785.65

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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.