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Finding the Fourth Proportional to 258,818.80, 357,169.80 and 145,641.64

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Solution

The fourth proportional to 258,818.80, 357,169.80 and 145,641.64 is: 200,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,818.80 : 357,169.80 = 145,641.64 : x
  2. Step 2: Convert to fraction form
    258,818.80/357,169.80 = 145,641.64/x
  3. Step 3: Cross multiply
    258,818.80x = 357,169.80 × 145,641.64
  4. Step 4: Simplify right side
    258,818.80x = 52,018,795,430.47
  5. Step 5: Solve for x
    x = 52,018,795,430.47/258,818.80
  6. Step 6: Final answer
    x = 200,985.38

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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.