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Finding the Fourth Proportional to 258,865.52, 357,175.32 and 145,646.96

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Solution

The fourth proportional to 258,865.52, 357,175.32 and 145,646.96 is: 200,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,865.52 : 357,175.32 = 145,646.96 : x
  2. Step 2: Convert to fraction form
    258,865.52/357,175.32 = 145,646.96/x
  3. Step 3: Cross multiply
    258,865.52x = 357,175.32 × 145,646.96
  4. Step 4: Simplify right side
    258,865.52x = 52,021,499,545.03
  5. Step 5: Solve for x
    x = 52,021,499,545.03/258,865.52
  6. Step 6: Final answer
    x = 200,959.55

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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.