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Finding the Fourth Proportional to 258,521.80, 387,653.10 and 118,121.80

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Solution

The fourth proportional to 258,521.80, 387,653.10 and 118,121.80 is: 177,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,521.80 : 387,653.10 = 118,121.80 : x
  2. Step 2: Convert to fraction form
    258,521.80/387,653.10 = 118,121.80/x
  3. Step 3: Cross multiply
    258,521.80x = 387,653.10 × 118,121.80
  4. Step 4: Simplify right side
    258,521.80x = 45,790,281,947.58
  5. Step 5: Solve for x
    x = 45,790,281,947.58/258,521.80
  6. Step 6: Final answer
    x = 177,123.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.