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Finding the Fourth Proportional to 85,570, 128,406.84 and 36,322

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Solution

The fourth proportional to 85,570, 128,406.84 and 36,322 is: 54,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,570 : 128,406.84 = 36,322 : x
  2. Step 2: Convert to fraction form
    85,570/128,406.84 = 36,322/x
  3. Step 3: Cross multiply
    85,570x = 128,406.84 × 36,322
  4. Step 4: Simplify right side
    85,570x = 4,663,993,242.48
  5. Step 5: Solve for x
    x = 4,663,993,242.48/85,570
  6. Step 6: Final answer
    x = 54,505.00

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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.