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Finding the Fourth Proportional to 172,843.40, 258,746.70 and 152,107.40

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Solution

The fourth proportional to 172,843.40, 258,746.70 and 152,107.40 is: 227,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,843.40 : 258,746.70 = 152,107.40 : x
  2. Step 2: Convert to fraction form
    172,843.40/258,746.70 = 152,107.40/x
  3. Step 3: Cross multiply
    172,843.40x = 258,746.70 × 152,107.40
  4. Step 4: Simplify right side
    172,843.40x = 39,357,287,795.58
  5. Step 5: Solve for x
    x = 39,357,287,795.58/172,843.40
  6. Step 6: Final answer
    x = 227,704.89

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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.