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Finding the Fourth Proportional to 145,847.94, 201,270.15 and 82,188.01

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Solution

The fourth proportional to 145,847.94, 201,270.15 and 82,188.01 is: 113,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,847.94 : 201,270.15 = 82,188.01 : x
  2. Step 2: Convert to fraction form
    145,847.94/201,270.15 = 82,188.01/x
  3. Step 3: Cross multiply
    145,847.94x = 201,270.15 × 82,188.01
  4. Step 4: Simplify right side
    145,847.94x = 16,541,993,100.90
  5. Step 5: Solve for x
    x = 16,541,993,100.90/145,847.94
  6. Step 6: Final answer
    x = 113,419.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.