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Finding the Fourth Proportional to 243,345.78, 335,813.54 and 135,917.30

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Solution

The fourth proportional to 243,345.78, 335,813.54 and 135,917.30 is: 187,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,345.78 : 335,813.54 = 135,917.30 : x
  2. Step 2: Convert to fraction form
    243,345.78/335,813.54 = 135,917.30/x
  3. Step 3: Cross multiply
    243,345.78x = 335,813.54 × 135,917.30
  4. Step 4: Simplify right side
    243,345.78x = 45,642,869,660.24
  5. Step 5: Solve for x
    x = 45,642,869,660.24/243,345.78
  6. Step 6: Final answer
    x = 187,563.84

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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.