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Finding the Fourth Proportional to 85,832.38, 128,760.84 and 32,509.98

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Solution

The fourth proportional to 85,832.38, 128,760.84 and 32,509.98 is: 48,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,832.38 : 128,760.84 = 32,509.98 : x
  2. Step 2: Convert to fraction form
    85,832.38/128,760.84 = 32,509.98/x
  3. Step 3: Cross multiply
    85,832.38x = 128,760.84 × 32,509.98
  4. Step 4: Simplify right side
    85,832.38x = 4,186,012,333.18
  5. Step 5: Solve for x
    x = 4,186,012,333.18/85,832.38
  6. Step 6: Final answer
    x = 48,769.62

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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.