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Finding the Fourth Proportional to 258,871.90, 357,106.20 and 178,159.30

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Solution

The fourth proportional to 258,871.90, 357,106.20 and 178,159.30 is: 245,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,871.90 : 357,106.20 = 178,159.30 : x
  2. Step 2: Convert to fraction form
    258,871.90/357,106.20 = 178,159.30/x
  3. Step 3: Cross multiply
    258,871.90x = 357,106.20 × 178,159.30
  4. Step 4: Simplify right side
    258,871.90x = 63,621,790,617.66
  5. Step 5: Solve for x
    x = 63,621,790,617.66/258,871.90
  6. Step 6: Final answer
    x = 245,765.53

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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.