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Finding the Fourth Proportional to 258,820.92, 357,159.24 and 145,650.96

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Solution

The fourth proportional to 258,820.92, 357,159.24 and 145,650.96 is: 200,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,820.92 : 357,159.24 = 145,650.96 : x
  2. Step 2: Convert to fraction form
    258,820.92/357,159.24 = 145,650.96/x
  3. Step 3: Cross multiply
    258,820.92x = 357,159.24 × 145,650.96
  4. Step 4: Simplify right side
    258,820.92x = 52,020,586,178.87
  5. Step 5: Solve for x
    x = 52,020,586,178.87/258,820.92
  6. Step 6: Final answer
    x = 200,990.65

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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.