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Finding the Fourth Proportional to 258,642, 356,925.96 and 145,467.18

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Solution

The fourth proportional to 258,642, 356,925.96 and 145,467.18 is: 200,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,642 : 356,925.96 = 145,467.18 : x
  2. Step 2: Convert to fraction form
    258,642/356,925.96 = 145,467.18/x
  3. Step 3: Cross multiply
    258,642x = 356,925.96 × 145,467.18
  4. Step 4: Simplify right side
    258,642x = 51,921,012,869.99
  5. Step 5: Solve for x
    x = 51,921,012,869.99/258,642
  6. Step 6: Final answer
    x = 200,744.71

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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.