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Finding the Fourth Proportional to 42,138, 63,225.45 and 19,967.22

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Solution

The fourth proportional to 42,138, 63,225.45 and 19,967.22 is: 29,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138 : 63,225.45 = 19,967.22 : x
  2. Step 2: Convert to fraction form
    42,138/63,225.45 = 19,967.22/x
  3. Step 3: Cross multiply
    42,138x = 63,225.45 × 19,967.22
  4. Step 4: Simplify right side
    42,138x = 1,262,436,469.75
  5. Step 5: Solve for x
    x = 1,262,436,469.75/42,138
  6. Step 6: Final answer
    x = 29,959.57

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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.