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Finding the Fourth Proportional to 243,396.86, 335,894.52 and 135,978.71

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Solution

The fourth proportional to 243,396.86, 335,894.52 and 135,978.71 is: 187,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,396.86 : 335,894.52 = 135,978.71 : x
  2. Step 2: Convert to fraction form
    243,396.86/335,894.52 = 135,978.71/x
  3. Step 3: Cross multiply
    243,396.86x = 335,894.52 × 135,978.71
  4. Step 4: Simplify right side
    243,396.86x = 45,674,501,846.20
  5. Step 5: Solve for x
    x = 45,674,501,846.20/243,396.86
  6. Step 6: Final answer
    x = 187,654.45

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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.