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Finding the Fourth Proportional to 49,529, 74,312.86 and 21,807.56

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Solution

The fourth proportional to 49,529, 74,312.86 and 21,807.56 is: 32,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529 : 74,312.86 = 21,807.56 : x
  2. Step 2: Convert to fraction form
    49,529/74,312.86 = 21,807.56/x
  3. Step 3: Cross multiply
    49,529x = 74,312.86 × 21,807.56
  4. Step 4: Simplify right side
    49,529x = 1,620,582,153.22
  5. Step 5: Solve for x
    x = 1,620,582,153.22/49,529
  6. Step 6: Final answer
    x = 32,719.86

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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.