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Finding the Fourth Proportional to 71,134.52, 106,713.30 and 21,875

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Solution

The fourth proportional to 71,134.52, 106,713.30 and 21,875 is: 32,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.52 : 106,713.30 = 21,875 : x
  2. Step 2: Convert to fraction form
    71,134.52/106,713.30 = 21,875/x
  3. Step 3: Cross multiply
    71,134.52x = 106,713.30 × 21,875
  4. Step 4: Simplify right side
    71,134.52x = 2,334,353,437.50
  5. Step 5: Solve for x
    x = 2,334,353,437.50/71,134.52
  6. Step 6: Final answer
    x = 32,816.04

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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.