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Finding the Fourth Proportional to 258,702.86, 357,009.42 and 145,525.61

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Solution

The fourth proportional to 258,702.86, 357,009.42 and 145,525.61 is: 200,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,702.86 : 357,009.42 = 145,525.61 : x
  2. Step 2: Convert to fraction form
    258,702.86/357,009.42 = 145,525.61/x
  3. Step 3: Cross multiply
    258,702.86x = 357,009.42 × 145,525.61
  4. Step 4: Simplify right side
    258,702.86x = 51,954,015,059.49
  5. Step 5: Solve for x
    x = 51,954,015,059.49/258,702.86
  6. Step 6: Final answer
    x = 200,825.05

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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.