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Finding the Fourth Proportional to 81,638.40, 122,360.40 and 42,175.20

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Solution

The fourth proportional to 81,638.40, 122,360.40 and 42,175.20 is: 63,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638.40 : 122,360.40 = 42,175.20 : x
  2. Step 2: Convert to fraction form
    81,638.40/122,360.40 = 42,175.20/x
  3. Step 3: Cross multiply
    81,638.40x = 122,360.40 × 42,175.20
  4. Step 4: Simplify right side
    81,638.40x = 5,160,574,342.08
  5. Step 5: Solve for x
    x = 5,160,574,342.08/81,638.40
  6. Step 6: Final answer
    x = 63,212.59

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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.