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Finding the Fourth Proportional to 100,522.85, 138,732.61 and 57,506.31

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Solution

The fourth proportional to 100,522.85, 138,732.61 and 57,506.31 is: 79,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,522.85 : 138,732.61 = 57,506.31 : x
  2. Step 2: Convert to fraction form
    100,522.85/138,732.61 = 57,506.31/x
  3. Step 3: Cross multiply
    100,522.85x = 138,732.61 × 57,506.31
  4. Step 4: Simplify right side
    100,522.85x = 7,978,000,477.77
  5. Step 5: Solve for x
    x = 7,978,000,477.77/100,522.85
  6. Step 6: Final answer
    x = 79,365.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.