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Finding the Fourth Proportional to 67,412.50, 101,118.75 and 18,164.50

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Solution

The fourth proportional to 67,412.50, 101,118.75 and 18,164.50 is: 27,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,412.50 : 101,118.75 = 18,164.50 : x
  2. Step 2: Convert to fraction form
    67,412.50/101,118.75 = 18,164.50/x
  3. Step 3: Cross multiply
    67,412.50x = 101,118.75 × 18,164.50
  4. Step 4: Simplify right side
    67,412.50x = 1,836,771,534.38
  5. Step 5: Solve for x
    x = 1,836,771,534.38/67,412.50
  6. Step 6: Final answer
    x = 27,246.75

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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.