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Finding the Fourth Proportional to 71,054.16, 106,581.12 and 21,133.92

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Solution

The fourth proportional to 71,054.16, 106,581.12 and 21,133.92 is: 31,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.16 : 106,581.12 = 21,133.92 : x
  2. Step 2: Convert to fraction form
    71,054.16/106,581.12 = 21,133.92/x
  3. Step 3: Cross multiply
    71,054.16x = 106,581.12 × 21,133.92
  4. Step 4: Simplify right side
    71,054.16x = 2,252,476,863.59
  5. Step 5: Solve for x
    x = 2,252,476,863.59/71,054.16
  6. Step 6: Final answer
    x = 31,700.84

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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.