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Finding the Fourth Proportional to 243,264.50, 335,664.96 and 135,817.28

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Solution

The fourth proportional to 243,264.50, 335,664.96 and 135,817.28 is: 187,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,264.50 : 335,664.96 = 135,817.28 : x
  2. Step 2: Convert to fraction form
    243,264.50/335,664.96 = 135,817.28/x
  3. Step 3: Cross multiply
    243,264.50x = 335,664.96 × 135,817.28
  4. Step 4: Simplify right side
    243,264.50x = 45,589,101,858.51
  5. Step 5: Solve for x
    x = 45,589,101,858.51/243,264.50
  6. Step 6: Final answer
    x = 187,405.49

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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.