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Finding the Fourth Proportional to 71,856.30, 107,776.23 and 19,261.68

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Solution

The fourth proportional to 71,856.30, 107,776.23 and 19,261.68 is: 28,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.30 : 107,776.23 = 19,261.68 : x
  2. Step 2: Convert to fraction form
    71,856.30/107,776.23 = 19,261.68/x
  3. Step 3: Cross multiply
    71,856.30x = 107,776.23 × 19,261.68
  4. Step 4: Simplify right side
    71,856.30x = 2,075,951,253.87
  5. Step 5: Solve for x
    x = 2,075,951,253.87/71,856.30
  6. Step 6: Final answer
    x = 28,890.32

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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.