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Finding the Fourth Proportional to 258,573.06, 356,863.32 and 145,395

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Solution

The fourth proportional to 258,573.06, 356,863.32 and 145,395 is: 200,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,573.06 : 356,863.32 = 145,395 : x
  2. Step 2: Convert to fraction form
    258,573.06/356,863.32 = 145,395/x
  3. Step 3: Cross multiply
    258,573.06x = 356,863.32 × 145,395
  4. Step 4: Simplify right side
    258,573.06x = 51,886,142,411.40
  5. Step 5: Solve for x
    x = 51,886,142,411.40/258,573.06
  6. Step 6: Final answer
    x = 200,663.37

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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.