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Finding the Fourth Proportional to 258,541.68, 387,819 and 71,554.80

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Solution

The fourth proportional to 258,541.68, 387,819 and 71,554.80 is: 107,333.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,541.68 : 387,819 = 71,554.80 : x
  2. Step 2: Convert to fraction form
    258,541.68/387,819 = 71,554.80/x
  3. Step 3: Cross multiply
    258,541.68x = 387,819 × 71,554.80
  4. Step 4: Simplify right side
    258,541.68x = 27,750,310,981.20
  5. Step 5: Solve for x
    x = 27,750,310,981.20/258,541.68
  6. Step 6: Final answer
    x = 107,333.99

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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.