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Finding the Fourth Proportional to 258,864.52, 357,173.94 and 145,645.96

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Solution

The fourth proportional to 258,864.52, 357,173.94 and 145,645.96 is: 200,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,864.52 : 357,173.94 = 145,645.96 : x
  2. Step 2: Convert to fraction form
    258,864.52/357,173.94 = 145,645.96/x
  3. Step 3: Cross multiply
    258,864.52x = 357,173.94 × 145,645.96
  4. Step 4: Simplify right side
    258,864.52x = 52,020,941,378.28
  5. Step 5: Solve for x
    x = 52,020,941,378.28/258,864.52
  6. Step 6: Final answer
    x = 200,958.17

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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.