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Finding the Fourth Proportional to 71,333.64, 107,018.25 and 21,414.66

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Solution

The fourth proportional to 71,333.64, 107,018.25 and 21,414.66 is: 32,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,333.64 : 107,018.25 = 21,414.66 : x
  2. Step 2: Convert to fraction form
    71,333.64/107,018.25 = 21,414.66/x
  3. Step 3: Cross multiply
    71,333.64x = 107,018.25 × 21,414.66
  4. Step 4: Simplify right side
    71,333.64x = 2,291,759,437.55
  5. Step 5: Solve for x
    x = 2,291,759,437.55/71,333.64
  6. Step 6: Final answer
    x = 32,127.33

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1.5x scale

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.