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Finding the Fourth Proportional to 71,254.61, 106,867.76 and 20,659.58

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Solution

The fourth proportional to 71,254.61, 106,867.76 and 20,659.58 is: 30,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254.61 : 106,867.76 = 20,659.58 : x
  2. Step 2: Convert to fraction form
    71,254.61/106,867.76 = 20,659.58/x
  3. Step 3: Cross multiply
    71,254.61x = 106,867.76 × 20,659.58
  4. Step 4: Simplify right side
    71,254.61x = 2,207,843,037.14
  5. Step 5: Solve for x
    x = 2,207,843,037.14/71,254.61
  6. Step 6: Final answer
    x = 30,985.27

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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.