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Finding the Fourth Proportional to 85,943, 128,964.68 and 36,018.96

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Solution

The fourth proportional to 85,943, 128,964.68 and 36,018.96 is: 54,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,943 : 128,964.68 = 36,018.96 : x
  2. Step 2: Convert to fraction form
    85,943/128,964.68 = 36,018.96/x
  3. Step 3: Cross multiply
    85,943x = 128,964.68 × 36,018.96
  4. Step 4: Simplify right side
    85,943x = 4,645,173,650.33
  5. Step 5: Solve for x
    x = 4,645,173,650.33/85,943
  6. Step 6: Final answer
    x = 54,049.47

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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.