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Finding the Fourth Proportional to 71,709.80, 107,435.10 and 63,415.40

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Solution

The fourth proportional to 71,709.80, 107,435.10 and 63,415.40 is: 95,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.80 : 107,435.10 = 63,415.40 : x
  2. Step 2: Convert to fraction form
    71,709.80/107,435.10 = 63,415.40/x
  3. Step 3: Cross multiply
    71,709.80x = 107,435.10 × 63,415.40
  4. Step 4: Simplify right side
    71,709.80x = 6,813,039,840.54
  5. Step 5: Solve for x
    x = 6,813,039,840.54/71,709.80
  6. Step 6: Final answer
    x = 95,008.49

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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.