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Finding the Fourth Proportional to 258,335.68, 356,535.12 and 145,156

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Solution

The fourth proportional to 258,335.68, 356,535.12 and 145,156 is: 200,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,335.68 : 356,535.12 = 145,156 : x
  2. Step 2: Convert to fraction form
    258,335.68/356,535.12 = 145,156/x
  3. Step 3: Cross multiply
    258,335.68x = 356,535.12 × 145,156
  4. Step 4: Simplify right side
    258,335.68x = 51,753,211,878.72
  5. Step 5: Solve for x
    x = 51,753,211,878.72/258,335.68
  6. Step 6: Final answer
    x = 200,333.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.