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Finding the Fourth Proportional to 55,478.94, 83,238.84 and 39,809.04

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Solution

The fourth proportional to 55,478.94, 83,238.84 and 39,809.04 is: 59,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,478.94 : 83,238.84 = 39,809.04 : x
  2. Step 2: Convert to fraction form
    55,478.94/83,238.84 = 39,809.04/x
  3. Step 3: Cross multiply
    55,478.94x = 83,238.84 × 39,809.04
  4. Step 4: Simplify right side
    55,478.94x = 3,313,658,311.11
  5. Step 5: Solve for x
    x = 3,313,658,311.11/55,478.94
  6. Step 6: Final answer
    x = 59,728.22

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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.