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Finding the Fourth Proportional to 147,837, 204,015.06 and 80,769

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Solution

The fourth proportional to 147,837, 204,015.06 and 80,769 is: 111,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,837 : 204,015.06 = 80,769 : x
  2. Step 2: Convert to fraction form
    147,837/204,015.06 = 80,769/x
  3. Step 3: Cross multiply
    147,837x = 204,015.06 × 80,769
  4. Step 4: Simplify right side
    147,837x = 16,478,092,381.14
  5. Step 5: Solve for x
    x = 16,478,092,381.14/147,837
  6. Step 6: Final answer
    x = 111,461.22

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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.