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Finding the Fourth Proportional to 258,739.84, 357,060.32 and 145,562.64

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Solution

The fourth proportional to 258,739.84, 357,060.32 and 145,562.64 is: 200,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,739.84 : 357,060.32 = 145,562.64 : x
  2. Step 2: Convert to fraction form
    258,739.84/357,060.32 = 145,562.64/x
  3. Step 3: Cross multiply
    258,739.84x = 357,060.32 × 145,562.64
  4. Step 4: Simplify right side
    258,739.84x = 51,974,642,818.44
  5. Step 5: Solve for x
    x = 51,974,642,818.44/258,739.84
  6. Step 6: Final answer
    x = 200,876.07

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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.