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Finding the Fourth Proportional to 258,806.91, 357,144.76 and 145,607.79

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Solution

The fourth proportional to 258,806.91, 357,144.76 and 145,607.79 is: 200,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,806.91 : 357,144.76 = 145,607.79 : x
  2. Step 2: Convert to fraction form
    258,806.91/357,144.76 = 145,607.79/x
  3. Step 3: Cross multiply
    258,806.91x = 357,144.76 × 145,607.79
  4. Step 4: Simplify right side
    258,806.91x = 52,003,060,734.98
  5. Step 5: Solve for x
    x = 52,003,060,734.98/258,806.91
  6. Step 6: Final answer
    x = 200,933.82

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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.