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Finding the Fourth Proportional to 258,755.92, 357,081.64 and 145,579.28

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Solution

The fourth proportional to 258,755.92, 357,081.64 and 145,579.28 is: 200,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,755.92 : 357,081.64 = 145,579.28 : x
  2. Step 2: Convert to fraction form
    258,755.92/357,081.64 = 145,579.28/x
  3. Step 3: Cross multiply
    258,755.92x = 357,081.64 × 145,579.28
  4. Step 4: Simplify right side
    258,755.92x = 51,983,688,052.42
  5. Step 5: Solve for x
    x = 51,983,688,052.42/258,755.92
  6. Step 6: Final answer
    x = 200,898.55

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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.