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Finding the Fourth Proportional to 70,851.60, 106,252.32 and 20,918.34

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Solution

The fourth proportional to 70,851.60, 106,252.32 and 20,918.34 is: 31,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,851.60 : 106,252.32 = 20,918.34 : x
  2. Step 2: Convert to fraction form
    70,851.60/106,252.32 = 20,918.34/x
  3. Step 3: Cross multiply
    70,851.60x = 106,252.32 × 20,918.34
  4. Step 4: Simplify right side
    70,851.60x = 2,222,622,155.55
  5. Step 5: Solve for x
    x = 2,222,622,155.55/70,851.60
  6. Step 6: Final answer
    x = 31,370.11

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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.