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Finding the Fourth Proportional to 133,605, 184,371.26 and 76,243.28

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Solution

The fourth proportional to 133,605, 184,371.26 and 76,243.28 is: 105,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,605 : 184,371.26 = 76,243.28 : x
  2. Step 2: Convert to fraction form
    133,605/184,371.26 = 76,243.28/x
  3. Step 3: Cross multiply
    133,605x = 184,371.26 × 76,243.28
  4. Step 4: Simplify right side
    133,605x = 14,057,069,600.13
  5. Step 5: Solve for x
    x = 14,057,069,600.13/133,605
  6. Step 6: Final answer
    x = 105,213.65

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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.