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Finding the Fourth Proportional to 258,751.20, 357,061.68 and 145,567.20

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Solution

The fourth proportional to 258,751.20, 357,061.68 and 145,567.20 is: 200,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,751.20 : 357,061.68 = 145,567.20 : x
  2. Step 2: Convert to fraction form
    258,751.20/357,061.68 = 145,567.20/x
  3. Step 3: Cross multiply
    258,751.20x = 357,061.68 × 145,567.20
  4. Step 4: Simplify right side
    258,751.20x = 51,976,468,984.90
  5. Step 5: Solve for x
    x = 51,976,468,984.90/258,751.20
  6. Step 6: Final answer
    x = 200,874.31

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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.