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Finding the Fourth Proportional to 55,354.84, 83,032 and 21,624.28

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Solution

The fourth proportional to 55,354.84, 83,032 and 21,624.28 is: 32,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,354.84 : 83,032 = 21,624.28 : x
  2. Step 2: Convert to fraction form
    55,354.84/83,032 = 21,624.28/x
  3. Step 3: Cross multiply
    55,354.84x = 83,032 × 21,624.28
  4. Step 4: Simplify right side
    55,354.84x = 1,795,507,216.96
  5. Step 5: Solve for x
    x = 1,795,507,216.96/55,354.84
  6. Step 6: Final answer
    x = 32,436.32

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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.