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Finding the Fourth Proportional to 172,528.25, 258,818.49 and 54,188.46

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Solution

The fourth proportional to 172,528.25, 258,818.49 and 54,188.46 is: 81,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,528.25 : 258,818.49 = 54,188.46 : x
  2. Step 2: Convert to fraction form
    172,528.25/258,818.49 = 54,188.46/x
  3. Step 3: Cross multiply
    172,528.25x = 258,818.49 × 54,188.46
  4. Step 4: Simplify right side
    172,528.25x = 14,024,975,392.63
  5. Step 5: Solve for x
    x = 14,024,975,392.63/172,528.25
  6. Step 6: Final answer
    x = 81,290.89

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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.