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Finding the Fourth Proportional to 71,856.68, 107,776.80 and 19,262.06

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Solution

The fourth proportional to 71,856.68, 107,776.80 and 19,262.06 is: 28,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.68 : 107,776.80 = 19,262.06 : x
  2. Step 2: Convert to fraction form
    71,856.68/107,776.80 = 19,262.06/x
  3. Step 3: Cross multiply
    71,856.68x = 107,776.80 × 19,262.06
  4. Step 4: Simplify right side
    71,856.68x = 2,076,002,649.32
  5. Step 5: Solve for x
    x = 2,076,002,649.32/71,856.68
  6. Step 6: Final answer
    x = 28,890.88

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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.