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Finding the Fourth Proportional to 258,505.59, 356,732.60 and 143,781.77

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Solution

The fourth proportional to 258,505.59, 356,732.60 and 143,781.77 is: 198,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,505.59 : 356,732.60 = 143,781.77 : x
  2. Step 2: Convert to fraction form
    258,505.59/356,732.60 = 143,781.77/x
  3. Step 3: Cross multiply
    258,505.59x = 356,732.60 × 143,781.77
  4. Step 4: Simplify right side
    258,505.59x = 51,291,642,142.13
  5. Step 5: Solve for x
    x = 51,291,642,142.13/258,505.59
  6. Step 6: Final answer
    x = 198,415.99

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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.