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Finding the Fourth Proportional to 135,072, 202,094 and 81,567.04

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Solution

The fourth proportional to 135,072, 202,094 and 81,567.04 is: 122,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,072 : 202,094 = 81,567.04 : x
  2. Step 2: Convert to fraction form
    135,072/202,094 = 81,567.04/x
  3. Step 3: Cross multiply
    135,072x = 202,094 × 81,567.04
  4. Step 4: Simplify right side
    135,072x = 16,484,209,381.76
  5. Step 5: Solve for x
    x = 16,484,209,381.76/135,072
  6. Step 6: Final answer
    x = 122,040.17

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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.