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Finding the Fourth Proportional to 56,907.76, 85,361.64 and 21,828.28

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Solution

The fourth proportional to 56,907.76, 85,361.64 and 21,828.28 is: 32,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,907.76 : 85,361.64 = 21,828.28 : x
  2. Step 2: Convert to fraction form
    56,907.76/85,361.64 = 21,828.28/x
  3. Step 3: Cross multiply
    56,907.76x = 85,361.64 × 21,828.28
  4. Step 4: Simplify right side
    56,907.76x = 1,863,297,779.18
  5. Step 5: Solve for x
    x = 1,863,297,779.18/56,907.76
  6. Step 6: Final answer
    x = 32,742.42

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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.