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Finding the Fourth Proportional to 258,858.52, 357,165.66 and 145,639.96

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Solution

The fourth proportional to 258,858.52, 357,165.66 and 145,639.96 is: 200,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,858.52 : 357,165.66 = 145,639.96 : x
  2. Step 2: Convert to fraction form
    258,858.52/357,165.66 = 145,639.96/x
  3. Step 3: Cross multiply
    258,858.52x = 357,165.66 × 145,639.96
  4. Step 4: Simplify right side
    258,858.52x = 52,017,592,435.77
  5. Step 5: Solve for x
    x = 52,017,592,435.77/258,858.52
  6. Step 6: Final answer
    x = 200,949.90

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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.